id
stringlengths 6
6
| conversations
listlengths 2
2
| source
stringclasses 2
values | image
stringlengths 50
51
| old_id
stringlengths 6
6
⌀ |
|---|---|---|---|---|
021318
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: EG measures 10.0, FGH is a equilateral triangle. How would you determine the perimeter of EDFGH?\nChoices:\nA: 44.0\nB: 49.5\nC: 51.0\nD: 25.0"
},
{
"from": "gpt",
"value": "AB measures 8.0. As the radius of the sector is unchanged, BC measures 8.0. CB measures 8.0. As CBDE is a square, all sides are identical. Therefore, ED = CB = 8.0. EDFG is a rectangle. FG is the opposite side of ED, so FG = 8.0. FGH is an equilateral triangle, so FH = GH = 8.0. Therefore, the perimeter is ED + EG + DF + GH + FH = 8.0 + 10.0 + 10.0 + 8.0 + 8.0 = 44.0.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/021318.png
| null |
029509
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB is equal to 9.0. What is the side length HG in the shape FGHI?\nChoices:\nA: 9.5\nB: 9.0\nC: 10.0\nD: 7.0"
},
{
"from": "gpt",
"value": "AB = 9.0. Since ABCD is a square, all four sides are equal. Therefore, AD = AB = 9.0. Given that AD is 9.0, the rectangle has opposite sides that are equal, so EF is also 9.0. Since EFG is an equilateral triangle, FG = EF = 9.0. FG equals 9.0. As FGHI is a square, all its sides are of equal length. Thus, HG = FG = 9.0.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/029509.png
| null |
049062
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Can you tell me the perimeter of GFHI?"
},
{
"from": "gpt",
"value": "AB is equal to 8.0. Given that ABCD is a square, all four sides have the same length. Therefore, CB = AB = 8.0. With CB = 8.0 and angle E being 41°, we find CE = CB / sin(41°) = 8.0 / 0.66 = 12.04. Given that CE is \\sqrt{145.0}, approximately equal to 12.04, and because CEFG is a parallelogram, it means GF will also be \\sqrt{145.0}, approximately equal to 12.04. GF = \\sqrt{145.0}, roughly estimated as 12.04. Since GFHI is a square, the perimeter of GFHI is 12.04*4 = 48.16.\nThe answer is 48.16"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/049062.png
| null |
093477
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB is equal to 9.0. What is the arc length GH in the shape FDGH?\nChoices:\nA: 12.5\nB: 19.5\nC: 14.14\nD: 12.5"
},
{
"from": "gpt",
"value": "AB is 9.0. With the constant radius of the sector, BC is 9.0. Given that CB has a length of 9.0. As CBDE is a rectangle, its opposite sides are equal. Therefore, ED is also 9.0. ED is 9.0. Because the sector's radius is constant, DF is 9.0. GH is opposite to FD, which makes GH also 9.0. Therefore, the semicircle from G to H with GH as its diameter has a length of 9.0 * π/2 = 14.14.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/093477.png
| null |
096328
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: What is the length of FE in shape DCEF?"
},
{
"from": "gpt",
"value": "Given that AB measures 9.0. Because ABCD is a parallelogram, the opposite side, DC, is also 9.0. DC equals 9.0. As DCEF is a square, all its sides are of equal length. Thus, FE = DC = 9.0.\nThe answer is 9.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/096328.png
| null |
015367
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: EH is equal to 15.0, GI and HI have same length and angle I is 60°, AB is 12.0. What is the total boundary length of EFGHI?\nChoices:\nA: 93.5\nB: 46.0\nC: 66.0\nD: 45.5"
},
{
"from": "gpt",
"value": "AB measures 12.0, and since ABC is an isosceles triangle, BC is also 12.0. Given that CB measures 12.0, the rectangle has equal opposite sides, so DE is also 12.0. Since DEF forms an equilateral triangle, EF = DE = 12.0. The figure EFGH is a rectangle. Since GH is opposite to EF, GH is 12.0. Given that GHI is an equilateral triangle, GI = HI = 12.0. Thus, the perimeter is EF + EH + FG + HI + GI = 12.0 + 15.0 + 15.0 + 12.0 + 12.0 = 66.0.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/015367.png
| null |
042175
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: How do you calculate the area of the shape ECFG?\nChoices:\nA: 41.5\nB: 66.0\nC: 63.0\nD: 85.5"
},
{
"from": "gpt",
"value": "AB = 9.0. Since all sides of ABCD, being a square, are equal, DC = AB = 9.0. DC measures 9.0. Because DCE is an isosceles triangle, CE is also 9.0. The area of ECFG can be found by multiplying EC by EG, which equals 9.0 by 7.0 = 63.0.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/042175.png
| null |
032206
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Angle E totals 60, FE is equal to 18.0, AB equals to 12.0. How much is the area of the entire shape DEFG?"
},
{
"from": "gpt",
"value": "Knowing that AB is 12.0, the rectangle’s opposite edges are equal, so CD is also 12.0. Since CDE is an equilateral triangle, DE = CD = 12.0. The area of parallelogram DEFG, with angle E of 59.99999999999999°, is DE * FE * sin(59.99999999999999) = 12.0 * 18.0 * 0.87 = 108.0.\nThe answer is 108.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/032206.png
| null |
079066
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What would the area of the entire shape DEFGH be?\nChoices:\nA: 56.0\nB: 62.0\nC: 52.28\nD: 67.0"
},
{
"from": "gpt",
"value": "Given that AB measures 8.0, the rectangle has equal opposite sides, so CD is also 8.0. Since CDE forms an equilateral triangle, DE = CD = 8.0. FG being the side opposite DE means that FG = DE = 8.0. The height of the equilateral triangle FGH is FG * \\sqrt{3}/2 = 6.93. The area of the inward-facing triangle FGH is FG * height/2 = 27.72. The area of the rectangle DEFG is 8.0 * 10.0 = 80.0. Therefore, the total area of DEFGH is 80.0 - 27.72 = 52.28.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/079066.png
| null |
059759
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AB amounts to 9.0. Please provide the length of FH in shape FEGH."
},
{
"from": "gpt",
"value": "Given that AB measures 9.0. Because ABCD is a parallelogram, the opposite side, DC, is also 9.0. Since DC is 9.0 and DCEF is a rectangle, the opposite sides are the same length. Therefore, FE is also 9.0. FE = 9.0. Since all sides of FEGH, being a square, are equal, FH = FE = 9.0.\nThe answer is 9.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/059759.png
| null |
005243
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: DB amounts to 12.0, Angle C is 39. Could you specify the length of DE in shape CBDE?"
},
{
"from": "gpt",
"value": "Since AB = 10.0 and the angle at C is 39°, the length of BC is AB / tan(39) = 10.0 / 0.83 = 12.0. DE is the side opposite to CB, which means DE has the same length of 12.0. As a result, the semicircle from D to E, with DE as the diameter, has a length of 12.0 * π/2 = 18.85.\nThe answer is 18.85"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/005243.png
| null |
061788
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Could you specify the length of FG in shape DEFG?\nChoices:\nA: 31.42\nB: 27.0\nC: 35.0\nD: 18.0"
},
{
"from": "gpt",
"value": "Since AB is 12.0 and ABCD is a rectangle, the opposite sides are the same length. Therefore, DC is also 12.0. With DC being 12.0 and an angle of 36° at E, DE is DC / sin(36°), which equals 12.0 / 0.6 = 20.0. FG is the side opposite to DE, which means FG has the same length of 20.0. As a result, the semicircle from F to G, with FG as the diameter, has a length of 20.0 * π/2 = 31.42.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/061788.png
| null |
010197
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Angle B is equal to 30, AD is equal to 11.0. How long is DC in shape ABCD?"
},
{
"from": "gpt",
"value": " Given that AB is 9.0, and considering ABCD is a parallelogram where opposite sides are equal, DC is also 9.0.\nThe answer is 9.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/010197.png
| null |
057497
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB totals 10.0. Could you determine the area of the entire shape DBEFG?\nChoices:\nA: 84.0\nB: 97.5\nC: 58.0\nD: 66.7"
},
{
"from": "gpt",
"value": "AB measures 10.0. Since the radius of the sector remains the same, BC measures 10.0. CB = 10.0. Since the radius of the sector is constant, BD = 10.0. Since EF is the side opposite DB, EF = DB = 10.0. The height of the equilateral triangle EFG is EF * \\sqrt{3}/2 = 8.66. The area of the inward-pointing triangle EFG is EF * height/2 = 43.3. The area of the rectangle DBEF is 10.0 * 11.0 = 110.0. Therefore, the total area of DBEFG is 110.0 - 43.3 = 66.7.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/057497.png
| null |
006053
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AD totals 9.0, CDE forms a equilateral triangle. What is the total area measurement of the shape ABCDE?\nChoices:\nA: 34.5\nB: 65.0\nC: 45.95\nD: 47.0"
},
{
"from": "gpt",
"value": " Since CD is opposite to AB, it means CD = AB = 9.0. The height of the equilateral triangle CDE is CD * \\sqrt{3}/2 = 7.79. The area of the inward-facing triangle CDE is CD * height/2 = 35.05. The area of the rectangle ABCD is 9.0 * 9.0 = 81.0. Therefore, the total area of ABCDE is 81.0 - 35.05 = 45.95.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/006053.png
| null |
076675
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AB = 12.0. Can you tell me the length of CB in shape ABCD?"
},
{
"from": "gpt",
"value": " AB has a length of 12.0. Since ABCD is a square with all sides equal, CB is also AB = 12.0.\nThe answer is 12.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/076675.png
| null |
026419
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB equals to 8.0. How long is AD in shape ABCD?\nChoices:\nA: 10.5\nB: 8.0\nC: 9.0\nD: 5.5"
},
{
"from": "gpt",
"value": " AB is 8.0. Since ABCD is a square and all four sides are equal, AD is also AB = 8.0.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/026419.png
| null |
081237
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB is equal to 10.0. Could you specify the length of FD in shape EDF?\nChoices:\nA: 8.5\nB: 13.0\nC: 10.0\nD: 7.0"
},
{
"from": "gpt",
"value": "AB is 10.0. Given that ABC is an isosceles triangle, BC is also 10.0. Since CBDE is a parallelogram and CB is 10.0, the opposite side, ED, will also measure 10.0. With ED being 10.0, EDF is an isosceles triangle, so DF is also 10.0.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/081237.png
| null |
024919
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: In the shape GFHI, what is the measurement of GI?\nChoices:\nA: 11.5\nB: 12.0\nC: 8.0\nD: 7.0"
},
{
"from": "gpt",
"value": "Given that AB is 12.0, the rectangle’s opposite sides are equal, so CD is also 12.0. Since CDE is an equilateral triangle, DE = CD = 12.0. Given that DE measures 12.0. Because DEFG is a parallelogram, the opposite side, GF, is also 12.0. GF has a length of 12.0. Since GFHI is a square with all sides equal, GI is also GF = 12.0.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/024919.png
| null |
093980
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Could you specify the length of EF in shape CBDEF?\nChoices:\nA: 8.5\nB: 11.5\nC: 5.0\nD: 8.0"
},
{
"from": "gpt",
"value": "AB equals 8.0. Given the constant sector radius, BC equals 8.0. Given that CB is 8.0, rectangle has equal oppsite edges, so DE is also 8.0. Since DEF is a equilateral triangle, EF=DE=8.0.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/093980.png
| null |
089409
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AB is 12.0. What is the perimeter of ABCD?"
},
{
"from": "gpt",
"value": " CD is opposite to AB, so CD is also 12.0. The semicircle from C to D has CD as its diameter, with a length of 12.0 * π/2 = 18.85. The total perimeter of the shape is AB + AD + BC + the semicircle CD, which equals 12.0 + 9.0 + 9.0 + 18.85 = 48.85.\nThe answer is 48.85"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/089409.png
| null |
013902
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: What is the total surface area of the shape CBDE?"
},
{
"from": "gpt",
"value": "AB measures 10.0. Because ABC is an isosceles triangle, BC is also 10.0. The area of rectangle CBDE equals CB * CE, which is 10.0 * 8.0 = 80.0. The semicircle with DE as its diameter has an area of (CB/2)^2 * π/2 = 39.27. Subtracting the semicircle's area from the rectangle's area gives us 80.0 - 39.27 = 40.73.\nThe answer is 40.73"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/013902.png
| null |
030913
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: How do you measure the perimeter of ABCD?"
},
{
"from": "gpt",
"value": " CD is the opposite side of AB, so CD is also 12.0. The semicircle from C to D has CD as its diameter, with a length of 12.0 * π/2 = 18.85. The total perimeter of the shape is AB + AD + BC + the semicircle CD, which equals 12.0 + 14.0 + 14.0 + 18.85 = 58.85.\nThe answer is 58.85"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/030913.png
| null |
015211
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the full perimeter of EBFG?\nChoices:\nA: 41.0\nB: 101.5\nC: 71.42\nD: 95.5"
},
{
"from": "gpt",
"value": "AB has the length 10.0. Given that ABCD is a square and all sides are equal, CB = AB = 10.0. CB measures 10.0. Because CBE is an isosceles triangle, BE is also 10.0. EB is 10.0, making the perimeter of the square EB multiplied by 4, equaling 40.0. A circle is inscribed within square EBFG, giving it a diameter of EB = 10.0, with a circumference of 10.0 * π = 31.42. The combined perimeter is 40.0 plus 31.42, which totals 71.42.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/015211.png
| null |
056546
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the overall area measurement of the shape CBEFG?\nChoices:\nA: 46.0\nB: 51.5\nC: 91.72\nD: 65.0"
},
{
"from": "gpt",
"value": "AB has the length 8.0. Given that ABCD is a square and all sides are equal, CB = AB = 8.0. Given that EF is the opposite side of CB, we know EF = CB = 8.0. The height of the equilateral triangle EFG is EF * \\sqrt{3}/2 = 6.93. The area of triangle EFG is EF * height/2 = 27.72. The rectangle CBEF has an area of 8.0 * 8.0 = 64.0. Thus, the total area of CBEFG is 27.72 + 64.0 = 91.72.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/056546.png
| null |
094755
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Could you specify the length of HG in shape FEGH?\nChoices:\nA: 9.5\nB: 5.5\nC: 11.0\nD: 8.0"
},
{
"from": "gpt",
"value": "AB measures 10.0, and since ABC is an isosceles triangle, BC is also 10.0. With CB = 10.0 and angle D being 51°, we find BD = CB / tan(51) = 10.0 / 1.25 = 8.0. DB has the length 8.0. Given that DBEF is a square and all sides are equal, FE = DB = 8.0. Considering that FE is 8.0. Since FEGH is a rectangle, its opposite sides are equal. Hence, HG is also 8.0.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/094755.png
| null |
033538
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB is 9.0. What is the measurement of AD in the shape ABCD?\nChoices:\nA: 6.0\nB: 9.0\nC: 9.0\nD: 6.5"
},
{
"from": "gpt",
"value": " AB is equal to 9.0. Given that ABCD is a square, all four sides have the same length. Therefore, AD = AB = 9.0.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/033538.png
| null |
007129
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Angle B is equal to 30, CB is equal to 16.0. Can you tell me the length of DC in shape ABCD?"
},
{
"from": "gpt",
"value": " Given that AB is 11.0. Since ABCD is a parallelogram, opposite sides are equal. Therefore, DC is also 11.0.\nThe answer is 11.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/007129.png
| null |
054273
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Could you specify the length of arc HJ in sector HIJ?"
},
{
"from": "gpt",
"value": "Because AB = 10.0 and angle C is 39°, the length of AC is found by AB / sin(39°) = 10.0 / 0.64 = 15.62. Since AC is \\sqrt{244.0}, around 15.62, the rectangle has equal opposite edges, making DE also 15.62. Given that DEF is an equilateral triangle, FD = DE = 15.62. Given that FD is \\sqrt{244.0}, valued approximately at 15.62, rectangle has equal oppsite edges, so GH is also 15.62. Since GHI is a equilateral triangle, HI=GH=15.62. The sector's central angle measures 90° which is π/2, and the radius HI equals \\sqrt{244.0}, around the value of 15.62. Therefore, the arc length HJ is 15.62 * π/2 = 24.54.\nThe answer is 24.54"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/054273.png
| null |
031084
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the measurement of the perimeter of ABCDE?\nChoices:\nA: 41.0\nB: 58.5\nC: 28.5\nD: 33.0"
},
{
"from": "gpt",
"value": " The shape ABCD forms a rectangle. Because CD is the opposite side of AB, CD = 9.0. Since CDE is an equilateral triangle, CE = DE = 9.0. Thus, the perimeter is AB + AD + BC + DE + CE = 9.0 + 7.0 + 7.0 + 9.0 + 9.0 = 41.0.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/031084.png
| null |
088920
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: FH and GH have same length and angle H is 60°, AB = 11.0. In the shape GHIJ, what is the measurement of IJ?"
},
{
"from": "gpt",
"value": "Given that AB measures 11.0. Because ABCD is a parallelogram, the opposite side, DC, is also 11.0. As DC = 11.0 and angle E = 36°, DE is calculated as DC / sin(36°) = 11.0 / 0.59 = 18.6. Given DE measures \\sqrt{346.0}, estimated at 18.6, the rectangle has equal opposite sides, making FG also 18.6. Since FGH is an equilateral triangle, GH = FG = 18.6. IJ, being opposite to GH, is also \\sqrt{346.0}, close to 18.6. Hence, the semicircle extending from I to J, using IJ as its diameter, measures 18.6 * π/2 = 29.22.\nThe answer is 29.22"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/088920.png
| null |
036634
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Can you tell me the perimeter of ABCDE?"
},
{
"from": "gpt",
"value": " The shape ABCD is a rectangle. Because CD is opposite to AB, CD is 12.0. The triangle CDE is equilateral, so CE and DE are both 12.0. Thus, the perimeter is AB + AD + BC + DE + CE = 12.0 + 14.0 + 14.0 + 12.0 + 12.0 = 64.0.\nThe answer is 64.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/036634.png
| null |
020189
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Can you tell me the perimeter of FEGH?"
},
{
"from": "gpt",
"value": "AB is 11.0. Since ABCD is a square and all four sides are equal, AD is also AB = 11.0. Considering that AD measures 11.0. Because ADEF is a rectangle, the opposite sides are equal. Hence, FE is also 11.0. Finding the perimeter of FEGH involves (FE+GE)*2 = (11.0+12.0)*2, which totals 46.0.\nThe answer is 46.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/020189.png
| null |
077773
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB amounts to 12.0. Could you specify the length of FH in shape FEGH?\nChoices:\nA: 14.0\nB: 9.0\nC: 12.0\nD: 17.5"
},
{
"from": "gpt",
"value": "Given that AB is 12.0, rectangle has equal oppsite edges, so CD is also 12.0. Since CDE is a equilateral triangle, DE=CD=12.0. DE measures 12.0. As the radius of the sector is unchanged, EF measures 12.0. FE is equal to 12.0. Given that FEGH is a square, all four sides have the same length. Therefore, FH = FE = 12.0.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/077773.png
| null |
078924
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the total perimeter measurement of DCEF?\nChoices:\nA: 38.5\nB: 20.5\nC: 16.0\nD: 32.0"
},
{
"from": "gpt",
"value": "Considering that AB is 8.0, and ABCD is a parallelogram with equal opposite sides, DC will also be 8.0. Since DCEF is a parallelogram, the opposite sides being equal means the perimeter is (DC + EC) * 2 = (8.0 + 8.0) * 2 = 32.0.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/078924.png
| null |
037955
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: How can we calculate the perimeter of FEGH?"
},
{
"from": "gpt",
"value": "Given that AB is 10.0, the fact that ABC is an isosceles triangle means that BC is also 10.0. CB measures 10.0, and since CBD is an isosceles triangle, BD is also 10.0. DB is 10.0. Since DBEF is a square and all four sides are equal, FE is also DB = 10.0. FE is equal to 10.0. Given that FEGH is a square, the perimeter of FEGH is 10.0 multiplied by 4, resulting in 40.0.\nThe answer is 40.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/037955.png
| null |
062981
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: GI is 14.0. Can you calculate the perimeter of GFHI?"
},
{
"from": "gpt",
"value": "AB is 11.0. Because ABCD is a square, all sides are the same length. Hence, AD = AB = 11.0. AD is 11.0. Given that ADE is an isosceles triangle, DE is also 11.0. Since ED measures 11.0 and EDFG is a parallelogram, GF, being an opposite side, is also 11.0. The formula for the perimeter of GFHI is (GF+GI)*2, yielding (11.0+14.0)*2 = 50.0.\nThe answer is 50.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/062981.png
| null |
091625
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: What’s the area of the entire shape DCE?"
},
{
"from": "gpt",
"value": "AB is equal to 11.0. Given that ABCD is a square, all four sides have the same length. Therefore, DC = AB = 11.0. The central angle of the sector measures 60° and the radius DC equals 11.0. Hence, the area of sector DCE is 11.0^2 * π * 60°/360° = 126.71.\nThe answer is 126.71"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/091625.png
| null |
072986
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AB is equal to 11.0. What is the overall area measurement of the shape ABCD?"
},
{
"from": "gpt",
"value": " The area of parallelogram ABCD, with angle B of 29.999999999999996°, is AB * AD * sin(29.999999999999996) = 11.0 * 8.0 * 0.5 = 22.78.\nThe answer is 22.78"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/072986.png
| null |
013037
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Angle B measures 45°. How long is EB in shape CBE?\nChoices:\nA: 12.0\nB: 10.5\nC: 14.0\nD: 12.0"
},
{
"from": "gpt",
"value": "AB equals 12.0. As ABCD is a square, all its sides are of equal length. Thus, CB = AB = 12.0. CB measures 12.0. Because CBE is an isosceles triangle, BE is also 12.0.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/013037.png
| null |
017541
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: DF and EF have same length and angle F is 60°, Angle G amounts to 41. What is the side length FG in the shape FDG?\nChoices:\nA: 13.5\nB: 12.04\nC: 10.5\nD: 10.5"
},
{
"from": "gpt",
"value": "AB equals 8.0. Given the constant sector radius, BC equals 8.0. Knowing that CB is 8.0, the rectangle’s opposite edges are equal, so DE is also 8.0. Since DEF is an equilateral triangle, FD = DE = 8.0. As FD = 8.0 and angle G = 41°, FG is calculated as FD / sin(41°) = 8.0 / 0.66 = 12.04.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/017541.png
| null |
021972
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Can you specify the length of the base DE in the isosceles triangle DCE?\nChoices:\nA: 6.0\nB: 7.65\nC: 8.5\nD: 11.0"
},
{
"from": "gpt",
"value": "Given that AB measures 10.0. Since ABCD is a rectangle, its opposite sides are equal. Thus, DC is also 10.0. With DCE being an isosceles triangle having a vertex angle of 45°, half of its base length is given by DC * sin(22°) = 10.0 * 0.38 = 3.83. Thus, the base length is 2 * 3.83 = 7.65.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/021972.png
| null |
072130
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Angle D amounts to 36, DF span 12.0. In the shape DBEF, what is the measurement of EF?"
},
{
"from": "gpt",
"value": "As AB = 11.0 and angle C = 45°, BC is calculated as AB / tan(45) = 11.0 / 1.0 = 11.0. Given that CB = 11.0 and angle D = 36°, we have BD = CB / tan(36), which equals 11.0 / 0.73 = 15.0. EF being the opposite side of DB, is also 15.0. Thus, the semicircle spanning from E to F and having EF as its diameter, has a length of 15.0 * π/2 = 23.56.\nThe answer is 23.56"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/072130.png
| null |
086260
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: CDE is a equilateral triangle, AB measures 10.0. What is the arc length GI in the sector GCI?\nChoices:\nA: 5.0\nB: 4.0\nC: 4.0\nD: 5.24"
},
{
"from": "gpt",
"value": "Since AB is 10.0, the rectangle has equal opposite edges, making CD also 10.0. Given that CDE is an equilateral triangle, EC = CD = 10.0. The value of EC is 10.0. Given the constant radius of the sector, CF is 10.0. FC equals 10.0. As FCGH is a square, all its sides are of equal length. Thus, GC = FC = 10.0. The central angle of the sector is 30° which is π/6, with a radius GC of 10.0. Hence, the arc length GI is 10.0 * π/6 = 5.24.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/086260.png
| null |
056366
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the perimeter length of DCEF?\nChoices:\nA: 36.0\nB: 64.27\nC: 44.5\nD: 63.5"
},
{
"from": "gpt",
"value": "Given that AB measures 9.0. Since ABCD is a rectangle, its opposite sides are equal. Thus, DC is also 9.0. Since DC is 9.0, the perimeter of the square is DC times 4, or 36.0. A circle inscribed in square DCEF has a diameter of DC = 9.0, and a circumference of 9.0 * π, equaling 28.27. Therefore, the total perimeter is 36.0 + 28.27 = 64.27.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/056366.png
| null |
063023
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB = 10.0. Can you calculate the area of the entire shape FEG?\nChoices:\nA: 51.5\nB: 66.5\nC: 30.0\nD: 55.0"
},
{
"from": "gpt",
"value": "Given that AB is 10.0, and because ABCD is a parallelogram, it means DC will also be 10.0. As DC is 10.0, and DCEF is a parallelogram with equal opposite sides, FE will also be 10.0. FEG is a right-angled triangle. The area can be calculated as FE * EG / 2 = 55.0.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/063023.png
| null |
019443
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Can you tell me the measures of angle H and angle I in the isosceles triangle HGI?\nChoices:\nA: 5.5\nB: 12.0\nC: 11.0\nD: 5.5"
},
{
"from": "gpt",
"value": "Since AB is 11.0, the rectangle has equal opposite edges, making CD also 11.0. Given that CDE is an equilateral triangle, EC = CD = 11.0. EC measures 11.0, and since ECF is an isosceles triangle, CF is also 11.0. FC is equal to 11.0. Given that FCGH is a square, all four sides have the same length. Therefore, HG = FC = 11.0. With HGI being an isosceles triangle with vertex angle G of 45°, angles H and I are each (180° - 45°) / 2 = 60°.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/019443.png
| null |
017187
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB amounts to 11.0. In the shape DFGH, what is the measurement of GF?\nChoices:\nA: 7.5\nB: 11.0\nC: 8.0\nD: 6.0"
},
{
"from": "gpt",
"value": "AB equals 11.0. Because the sector's radius is fixed, BC equals 11.0. CB is 11.0. Since the sector's radius remains the same, BD is 11.0. DB is equal to 11.0. Given that DBEF is a square, all four sides have the same length. Therefore, DF = DB = 11.0. DF is equal to 11.0. Given that DFGH is a square, all four sides have the same length. Therefore, GF = DF = 11.0.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/017187.png
| null |
010106
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: EG and FG have same length and angle G is 60°, AB = 11.0. Can you tell me the perimeter of IHJKL?\nChoices:\nA: 56.0\nB: 44.5\nC: 65.0\nD: 85.0"
},
{
"from": "gpt",
"value": "Since AB is 11.0, and ABCD is a parallelogram with equal opposite sides, DC is also 11.0. As DC is 11.0, the rectangle has equal opposite edges, so EF is also 11.0. Given that EFG is an equilateral triangle, FG = EF = 11.0. Since FG measures 11.0 and FGHI is a parallelogram, IH, being an opposite side, is also 11.0. The rectangle IHJK has JK as the opposite side of IH, meaning JK = 11.0. Since the triangle JKL is equilateral, JL = KL = 11.0. Therefore, the perimeter is IH + IK + HJ + KL + JL = 11.0 + 16.0 + 16.0 + 11.0 + 11.0 = 65.0.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/010106.png
| null |
095246
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB amounts to 9.0. Could you determine the perimeter of ABCD?\nChoices:\nA: 32.0\nB: 41.0\nC: 34.0\nD: 44.0"
},
{
"from": "gpt",
"value": " To determine the perimeter of ABCD, we use (AB+AD)*2, which simplifies to (9.0+7.0)*2 = 32.0.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/095246.png
| null |
079413
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AB span 12.0. Can you calculate the perimeter of ABCD?"
},
{
"from": "gpt",
"value": " Since AB is 12.0, the perimeter of the square is AB times 4, or 48.0. A circle inscribed in square ABCD has a diameter of AB = 12.0, and a circumference of 12.0 * π, equaling 37.7. Therefore, the total perimeter is 48.0 + 37.7 = 85.7.\nThe answer is 85.7"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/079413.png
| null |
084036
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Angle C amounts to 45, AB span 10.0. Could you specify the length of DC in shape ACD?\nChoices:\nA: 7.5\nB: 8.0\nC: 14.14\nD: 8.5"
},
{
"from": "gpt",
"value": "With AB being 10.0 and an angle of 45° at C, AC is AB / sin(45°), which equals 10.0 / 0.71 = 14.14. AC is \\sqrt{200.0}, with an approximate value of 14.14. With the sector's radius being constant, CD is \\sqrt{200.0}, with an approximate value of 14.14.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/084036.png
| null |
043449
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: How do you measure the perimeter of ABCDE?"
},
{
"from": "gpt",
"value": " ABCD forms a rectangle. CD, being the opposite side of AB, is 10.0. CDE is an equilateral triangle, so CE and DE both equal 10.0. Therefore, the perimeter is AB + AD + BC + DE + CE = 10.0 + 9.0 + 9.0 + 10.0 + 10.0 = 48.0.\nThe answer is 48.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/043449.png
| null |
073093
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Can you calculate the area of the entire shape DCE?\nChoices:\nA: 52.41\nB: 63.5\nC: 35.5\nD: 74.0"
},
{
"from": "gpt",
"value": "AB = 11.0. Since ABCD is a square, all four sides are equal. Therefore, DC = AB = 11.0. Since DCE is an isosceles triangle with a vertex angle of 60°, its area is DC * CE * sin(60) / 2 = 52.41.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/073093.png
| null |
013674
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AD measures 7.0, CE and DE have same length and angle E is 60°. How much area does the shape ABCDE cover?\nChoices:\nA: 14.0\nB: 35.5\nC: 30.5\nD: 26.700000000000003"
},
{
"from": "gpt",
"value": " Given that CD is the opposite side of AB, we have CD = AB = 10.0. The height of the equilateral triangle CDE is CD * \\sqrt{3}/2 = 8.66. The area of the inward-facing triangle CDE is CD * height/2 = 43.3. The area of the rectangle ABCD is 10.0 * 7.0 = 70.0. Thus, the total area of ABCDE is 70.0 - 43.3 = 26.700000000000003.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/013674.png
| null |
096618
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB equals to 11.0. What is the length of CE in shape CBDE?\nChoices:\nA: 7.0\nB: 13.5\nC: 11.0\nD: 9.0"
},
{
"from": "gpt",
"value": "AB measures 11.0. As the sector's radius is constant, BC measures 11.0. CB = 11.0. Since CBDE is a square, all four sides are equal. Therefore, CE = CB = 11.0.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/096618.png
| null |
048508
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: CB equals to 12.0. Can you calculate the perimeter of ABCD?\nChoices:\nA: 29.5\nB: 80.0\nC: 51.0\nD: 54.85"
},
{
"from": "gpt",
"value": " The opposite side to AB is CD, so CD is also 12.0. The semicircle from C to D uses CD as its diameter, with a length of 12.0 * π/2 = 18.85. The shape's total perimeter is calculated as AB + AD + BC + the semicircle CD, equaling 12.0 + 12.0 + 12.0 + 18.85 = 54.85.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/048508.png
| null |
052538
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AD measures 11.0. How much area does the shape ABCD cover?"
},
{
"from": "gpt",
"value": " The rectangle ABCD has an area of AB * AD = 9.0 * 11.0, giving 99.0. For the semicircle with CD as the diameter, the area is (AB/2)^2 * π/2 = 31.81. The combined area is then 99.0 - 31.81 = 67.19.\nThe answer is 67.19"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/052538.png
| null |
085650
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB totals 9.0. In the shape ABCD, what is the measurement of CD?\nChoices:\nA: 8.0\nB: 9.0\nC: 14.14\nD: 17.5"
},
{
"from": "gpt",
"value": " CD is opposite AB, thus making CD also 9.0. Consequently, the semicircle from C to D, using CD as its diameter, has a length of 9.0 * π/2 = 14.14.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/085650.png
| null |
099246
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Angle B amounts to 45°. Can you tell me the area of the whole shape ABC?\nChoices:\nA: 166.0\nB: 134.0\nC: 113.1\nD: 169.0"
},
{
"from": "gpt",
"value": " The sector's central angle measures 45° and the radius AB is 12.0. Therefore, the area of sector ABC is 12.0^2 * π * 45°/360° = 113.1.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/099246.png
| null |
091609
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Can you calculate the area of the entire shape ABCD?\nChoices:\nA: 131.5\nB: 144.0\nC: 79.0\nD: 210.5"
},
{
"from": "gpt",
"value": " The area of the square ABCD equals 12.0 squared, which is 144.0.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/091609.png
| null |
044159
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AB = 10.0, Angle C totals 37. How would you calculate the total area of the shape ACD?"
},
{
"from": "gpt",
"value": "As AB = 10.0 and angle C = 37°, AC is calculated as AB / sin(37°) = 10.0 / 0.61 = 16.4. ACD is a right triangle. To find the area, multiply AC by CD and divide by 2, resulting in 131.2.\nThe answer is 131.2"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/044159.png
| null |
076231
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AB equals to 11.0. Please provide the length of EG in shape EDFG."
},
{
"from": "gpt",
"value": "Because AB = 11.0 and angle C is 47°, the length of AC is found by AB / sin(47°) = 11.0 / 0.74 = 14.87. Given that AC measures \\sqrt{221.0}, around 14.87. Because ACDE is a rectangle, opposite sides must be equal. Hence, ED is also \\sqrt{221.0}, around 14.87. ED is equal to \\sqrt{221.0}, with an approximate value of 14.87. Given that EDFG is a square, all four sides have the same length. Therefore, EG = ED = \\sqrt{221.0}, with an approximate value of 14.87.\nThe answer is 14.87"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/076231.png
| null |
090768
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the length of DC in shape ABCD?\nChoices:\nA: 8.0\nB: 6.5\nC: 5.5\nD: 4.0"
},
{
"from": "gpt",
"value": " Since AB is 8.0 and ABCD is a rectangle, the opposite sides are the same length. Therefore, DC is also 8.0.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/090768.png
| null |
084300
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: DF totals 12.0, EG and FG have same length and angle G is 60°. What is the total perimeter measurement of DCEFG?\nChoices:\nA: 36.5\nB: 37.5\nC: 60.0\nD: 32.5"
},
{
"from": "gpt",
"value": "AB is 12.0. Because ABCD is a square, all sides are the same length. Hence, DC = AB = 12.0. The shape DCEF forms a rectangle. Because EF is the opposite side of DC, EF = 12.0. Since EFG is an equilateral triangle, EG = FG = 12.0. Thus, the perimeter is DC + DF + CE + FG + EG = 12.0 + 12.0 + 12.0 + 12.0 + 12.0 = 60.0.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/084300.png
| null |
017534
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB is 12.0, CDE is a equilateral triangle. What is the entire perimeter length of FEGH?\nChoices:\nA: 52.5\nB: 51.0\nC: 50.0\nD: 68.0"
},
{
"from": "gpt",
"value": "Knowing that AB is 12.0, the rectangle’s opposite edges are equal, so CD is also 12.0. Since CDE is an equilateral triangle, DE = CD = 12.0. The length of DE is 12.0. Since the sector's radius does not change, EF is 12.0. The perimeter of FEGH is (FE+FH)*2 = (12.0+13.0)*2 = 50.0.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/017534.png
| null |
061922
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Angle E totals 45, FH span 8.0. How would you calculate the total area of the shape FEGH?\nChoices:\nA: 20.5\nB: 41.5\nC: 26.0\nD: 30.61"
},
{
"from": "gpt",
"value": "Considering that AB measures 10.0. Because ABCD is a rectangle, the opposite sides are equal. Hence, DC is also 10.0. DC = 10.0. Since all sides of DCEF, being a square, are equal, FE = DC = 10.0. For parallelogram FEGH, which has an angle E of 45.0°, the area is FE * FH * sin(45.0) = 10.0 * 8.0 * 0.71 = 30.61.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/061922.png
| null |
043427
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB is equal to 11.0. Can you calculate the perimeter of EDFG?\nChoices:\nA: 30.5\nB: 62.0\nC: 53.0\nD: 48.0"
},
{
"from": "gpt",
"value": "The length of AB is 11.0. As the radius of the sector is constant, BC is also 11.0. CB is equal to 11.0. Given that CBDE is a square, all four sides have the same length. Therefore, ED = CB = 11.0. The perimeter length of EDFG is given by (ED+FD)*2, which equals (11.0+13.0)*2 = 48.0.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/043427.png
| null |
021996
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB is equal to 10.0. How much area does the shape GEIJ cover?\nChoices:\nA: 122.5\nB: 140.0\nC: 119.5\nD: 160.5"
},
{
"from": "gpt",
"value": "The length of AB is 10.0. As ABCD is a square with all sides of equal length, AD = AB = 10.0. Given that AD is 10.0. Since ADEF is a rectangle, opposite sides are equal. Therefore, FE is also 10.0. FE is equal to 10.0. Given that FEGH is a square, all four sides have the same length. Therefore, GE = FE = 10.0. The area of rectangle GEIJ can be calculated as GE*IE, which equals 10.0*14.0 = 140.0.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/021996.png
| null |
077729
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB totals 11.0. What is the overall area measurement of the shape ABCD?\nChoices:\nA: 201.52\nB: 233.5\nC: 266.0\nD: 227.0"
},
{
"from": "gpt",
"value": " The area of rectangle ABCD equals AB * CB, which is 11.0 * 14.0 = 154.0. The semicircle with CD as its diameter has an area of (AB/2)^2 * π/2 = 47.52. Adding the areas, we get 154.0 + 47.52 = 201.52.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/077729.png
| null |
045768
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB amounts to 8.0. What is the side length HG in the shape EDGH?\nChoices:\nA: 17.5\nB: 9.0\nC: 10.0\nD: 13.6"
},
{
"from": "gpt",
"value": "Since AB is 8.0 and ABC is an isosceles triangle, BC is also 8.0. With CB = 8.0 and angle D being 36°, we find CD = CB / sin(36°) = 8.0 / 0.59 = 13.6. CD equals \\sqrt{185.0}, roughly estimated as 13.6. As CDEF is a square, all its sides are of equal length. Thus, ED = CD = \\sqrt{185.0}, roughly estimated as 13.6. ED is equal to \\sqrt{185.0}, roughly estimated as 13.6. Given that EDGH is a square, all four sides have the same length. Therefore, HG = ED = \\sqrt{185.0}, roughly estimated as 13.6.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/045768.png
| null |
068906
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: In the shape DCEF, what is the measurement of EF?\nChoices:\nA: 22.5\nB: 26.5\nC: 18.85\nD: 17.0"
},
{
"from": "gpt",
"value": "AB is equal to 12.0. Given that ABCD is a square, all four sides have the same length. Therefore, DC = AB = 12.0. EF being the opposite side of DC, is also 12.0. Thus, the semicircle spanning from E to F and having EF as its diameter, has a length of 12.0 * π/2 = 18.85.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/068906.png
| null |
020409
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: What is the length of EF in shape DCEF?"
},
{
"from": "gpt",
"value": "Since AB is 10.0 and ABCD is a rectangle, the opposite sides have the same length. Thus, DC is also 10.0. EF is opposite to DC, so it is also 10.0. Thus, the semicircle from E to F, with EF as its diameter, has a length of 10.0 * π/2 = 15.71.\nThe answer is 15.71"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/020409.png
| null |
042875
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the side length CB in the shape ABCD?\nChoices:\nA: 17.5\nB: 6.5\nC: 12.0\nD: 6.5"
},
{
"from": "gpt",
"value": " AB is 12.0. Because ABCD is a square, all sides are the same length. Hence, CB = AB = 12.0.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/042875.png
| null |
032952
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: How long is the base FG in the isosceles triangle FDG?\nChoices:\nA: 5.69\nB: 5.5\nC: 3.0\nD: 7.0"
},
{
"from": "gpt",
"value": "Given that AB is 8.0 and angle C = 38°, we have AC = AB / sin(38°), which equals 8.0 / 0.62 = 12.81. AC is equal to \\sqrt{164.0}, which approximates to 12.81. Given that ACDE is a square, all four sides have the same length. Therefore, ED = AC = \\sqrt{164.0}, which approximates to 12.81. With ED = \\sqrt{164.0}, equating to about 12.81 and an angle of 49° at F, DF is ED / tan(49), which equals 12.81 / 1.16 = 11.0. With FDG being an isosceles triangle having a vertex angle of 30°, half of its base length is given by FD * sin(15°) = 11.0 * 0.26 = 2.85. Thus, the base length is 2 * 2.85 = 5.69.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/032952.png
| null |
042808
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AB is equal to 9.0. In shape ABCD, how long is DC?"
},
{
"from": "gpt",
"value": " Considering that AB measures 9.0. As ABCD is a rectangle, opposite sides are equal. Therefore, DC is also 9.0.\nThe answer is 9.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/042808.png
| null |
081972
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Angle C is 45, EG amounts to 17.0, CDE forms a equilateral triangle. How can we calculate the perimeter of ECFG?"
},
{
"from": "gpt",
"value": "Given AB is 12.0, the rectangle has equal opposite sides, making CD also 12.0. As CDE forms an equilateral triangle, EC = CD = 12.0. Given ECFG is a parallelogram, the opposite sides are equal, resulting in a perimeter of (EC + EG) * 2 = (12.0 + 17.0) * 2 = 58.0.\nThe answer is 58.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/081972.png
| null |
034800
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Could you specify the length of EC in shape DCE?\nChoices:\nA: 8.0\nB: 7.5\nC: 8.0\nD: 6.5"
},
{
"from": "gpt",
"value": "AB is equal to 8.0. Given that ABCD is a square, all four sides have the same length. Therefore, DC = AB = 8.0. The length of DC is 8.0. Given the unchanging radius of the sector, CE is also 8.0.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/034800.png
| null |
043918
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: FH is 16.0, AB span 12.0. Please provide the length of GH in shape FCGH."
},
{
"from": "gpt",
"value": "AB has the length 12.0. Given that ABCD is a square and all sides are equal, DC = AB = 12.0. DC is 12.0, DCE is isosceles triangle, so CE is also 12.0. Since EC = 12.0 and angle F is 40°, the length of CF is calculated as EC / tan(40) = 12.0 / 0.86 = 14.0. GH is opposite to FC, so it is also 14.0. Thus, the semicircle from G to H, with GH as its diameter, has a length of 14.0 * π/2 = 21.99.\nThe answer is 21.99"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/043918.png
| null |
083539
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB = 8.0. What is the total area of shape CBD?\nChoices:\nA: 53.5\nB: 45.0\nC: 37.0\nD: 36.0"
},
{
"from": "gpt",
"value": "AB measures 8.0. Because ABC is an isosceles triangle, BC is also 8.0. CBD is a right-angled triangle. The area can be calculated as CB * BD / 2 = 36.0.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/083539.png
| null |
079152
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Angle B span 45°. What is the full area of the shape ABC?"
},
{
"from": "gpt",
"value": " The central angle of the sector is π/4, and the radius AB = 9.0. Therefore, area of sector ABC is 9.0^2 * π/4 = 63.62.\nThe answer is 63.62"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/079152.png
| null |
060726
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: How much is the perimeter of CBDE?\nChoices:\nA: 86.5\nB: 71.42\nC: 54.5\nD: 46.5"
},
{
"from": "gpt",
"value": "As AB = 12.0 and angle C = 50°, BC is calculated as AB / tan(50) = 12.0 / 1.2 = 10.0. Given that CB is 10.0, the perimeter of the square is CB multiplied by 4, or 40.0. An inscribed circle in square CBDE has a diameter of CB = 10.0, and its circumference is 10.0 * π = 31.42. The combined perimeter is 40.0 + 31.42 = 71.42.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/060726.png
| null |
058017
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB = 10.0. What is the total boundary length of FEG?\nChoices:\nA: 25.5\nB: 32.5\nC: 19.5\nD: 29.21"
},
{
"from": "gpt",
"value": "Given that AB is 10.0. As ABCD is a rectangle, the opposite sides are the same. Hence, DC is also 10.0. Since DC measures 10.0 and DCEF is a parallelogram, FE, being an opposite side, is also 10.0. Since FE = 10.0 and angle G is 55°, the adjacent side EG is FE / tan(55) = 10.0 / 1.43 = 7.0. The hypotenuse FG is FE / sin(55°) = 10.0 / 0.82 = 12.21, giving the perimeter as FE + EG + FG = 29.21.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/058017.png
| null |
065569
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Can you tell me the perimeter of ABCD?"
},
{
"from": "gpt",
"value": " AB is 11.0, so the square's perimeter is AB multiplied by 4, resulting in 44.0. A circle inscribed in square ABCD has a diameter of AB = 11.0, with a circumference of 11.0 * π = 34.56. Therefore, the total perimeter is 44.0 plus 34.56, giving 78.56.\nThe answer is 78.56"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/065569.png
| null |
012538
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the full area of the shape EDF?\nChoices:\nA: 60.5\nB: 65.5\nC: 75.0\nD: 85.5"
},
{
"from": "gpt",
"value": "AB is 11.0, ABC is isosceles triangle, so BC is also 11.0. CB = 11.0. Since CBDE is a square, all four sides are equal. Therefore, ED = CB = 11.0. EDF is a right triangle. To find the area, multiply ED by DF and divide by 2, resulting in 60.5.\nAnswer: A"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/012538.png
| null |
092499
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Angle D is 47, AB totals 8.0. What is the total area of the shape ACD?"
},
{
"from": "gpt",
"value": "As AB is 8.0 and the angle at C is 41°, we get AC = AB / sin(41°), or 8.0 / 0.66 = 12.04. ACD, being a right triangle, has an area of AC * CD / 2, which is 66.22.\nThe answer is 66.22"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/092499.png
| null |
092620
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the total surface area of the shape DCEF?\nChoices:\nA: 258.0\nB: 179.27\nC: 174.5\nD: 253.0"
},
{
"from": "gpt",
"value": "AB has the length 10.0. Given that ABCD is a square and all sides are equal, DC = AB = 10.0. The area of rectangle DCEF is DC * DF = 10.0 * 14.0 = 140.0. The area of the semicircle with EF as the diameter is (DC/2)^2 * π/2 = 39.27. The total area is 140.0 + 39.27 = 179.27.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/092620.png
| null |
008861
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: How do you find the perimeter of CBDE?\nChoices:\nA: 68.0\nB: 61.0\nC: 71.42\nD: 71.0"
},
{
"from": "gpt",
"value": "AB equals 10.0. Because the sector's radius is fixed, BC equals 10.0. CB is 10.0, making the perimeter of the square CB multiplied by 4, equaling 40.0. A circle is inscribed within square CBDE, giving it a diameter of CB = 10.0, with a circumference of 10.0 * π = 31.42. The combined perimeter is 40.0 plus 31.42, which totals 71.42.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/008861.png
| null |
070047
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: How do you measure the perimeter of ABCD?"
},
{
"from": "gpt",
"value": " AB is 11.0, making the square's perimeter AB times 4, equaling 44.0. The circle inscribed in square ABCD has a diameter equal to AB = 11.0, with a circumference of 11.0 * π = 34.56. Thus, the total perimeter is 44.0 plus 34.56, which is 78.56.\nThe answer is 78.56"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/070047.png
| null |
027508
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB measures 11.0. What is the entire perimeter length of DCEF?\nChoices:\nA: 47.5\nB: 23.0\nC: 44.0\nD: 24.5"
},
{
"from": "gpt",
"value": "Given that AB is 11.0. Since ABCD is a rectangle, it has equal opposite sides. Thus, DC is also 11.0. DC is 11.0. Because DCEF is a square, its perimeter equals 11.0 * 4 = 44.0.\nAnswer: C"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/027508.png
| null |
056851
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: What is the total surface area of the shape CEF?"
},
{
"from": "gpt",
"value": "AB measures 12.0, and since ABC is an isosceles triangle, BC is also 12.0. With CB = 12.0 and angle D being 50°, we find CD = CB / sin(50°) = 12.0 / 0.77 = 15.62. With CD = \\sqrt{244.0}, close to 15.62 and angle E being 46°, we find CE = CD / sin(46°) = 15.62 / 0.72 = 21.66. CEF is a right triangle. To find the area, multiply CE by EF and divide by 2, resulting in 238.26.\nThe answer is 238.26"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/056851.png
| null |
049075
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AB is 12.0. What is the overall perimeter of ABCD?"
},
{
"from": "gpt",
"value": " CD is opposite to AB, thus CD is also 12.0. The semicircle from C to D has CD as its diameter, measuring 12.0 * π/2 = 18.85. The total perimeter of the shape comprises AB, AD, BC, and the semicircle CD, totaling 12.0 + 15.0 + 15.0 + 18.85 = 60.85.\nThe answer is 60.85"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/049075.png
| null |
044428
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: What is the perimeter of EBFGH?"
},
{
"from": "gpt",
"value": "AB is equal to 9.0. Given that ABCD is a square, all four sides have the same length. Therefore, CB = AB = 9.0. Because CB is 9.0, CBE being an isosceles triangle means that BE is also 9.0. EBFG is a rectangle. Since FG is the opposite side of EB, FG equals 9.0. FGH forms an equilateral triangle, making FH equal to GH = 9.0. Therefore, the perimeter is EB + EG + BF + GH + FH = 9.0 + 11.0 + 11.0 + 9.0 + 9.0 = 49.0.\nThe answer is 49.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/044428.png
| null |
035390
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Angle B amounts to 60, FB span 8.0. What would the perimeter of DBFG be?\nChoices:\nA: 22.0\nB: 42.5\nC: 40.0\nD: 32.0"
},
{
"from": "gpt",
"value": "AB is 8.0. With the sector's radius being constant, BC is 8.0. CB = 8.0. Since all sides of CBDE, being a square, are equal, DB = CB = 8.0. Since DBFG is a parallelogram, opposite sides are equal. The perimeter of DBFG is (DB+FB)*2 = (8.0+8.0)*2 = 32.0.\nAnswer: D"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/035390.png
| null |
065931
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the measurement of the perimeter of FEGHI?\nChoices:\nA: 75.5\nB: 70.0\nC: 91.0\nD: 101.0"
},
{
"from": "gpt",
"value": "The length of AB is 12.0. As ABCD is a square with all sides of equal length, AD = AB = 12.0. The length of AD is 12.0. As ADEF is a square with all sides of equal length, FE = AD = 12.0. The shape FEGH is a rectangle. Because GH is the opposite side of FE, GH = 12.0. The triangle GHI is equilateral, so GI = HI = 12.0. Thus, the perimeter is FE + FH + EG + HI + GI = 12.0 + 17.0 + 17.0 + 12.0 + 12.0 = 70.0.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/065931.png
| null |
073628
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Angle C totals 90°. How long is EC in shape DCE?"
},
{
"from": "gpt",
"value": "Considering that AB is 9.0. Since ABCD is a rectangle, its opposite sides are equal. Hence, DC is also 9.0. DC measures 9.0. As the sector's radius is constant, CE measures 9.0.\nThe answer is 9.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/073628.png
| null |
062966
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: AB span 11.0. Could you specify the length of IH in shape FHI?"
},
{
"from": "gpt",
"value": "AB = 11.0. Since ABCD is a square, all four sides are equal. Therefore, CB = AB = 11.0. Given that CB measures 11.0. Since CBEF is a rectangle, its opposite sides are equal. Thus, FE is also 11.0. FE equals 11.0. As FEGH is a square, all its sides are of equal length. Thus, FH = FE = 11.0. The length of FH is 11.0. Since the sector's radius does not change, HI is 11.0.\nThe answer is 11.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/062966.png
| null |
058664
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: How long is CB in shape ABC?"
},
{
"from": "gpt",
"value": " Since AB = 9.0 and the angle at C is 48°, the length of BC is AB / tan(48) = 9.0 / 1.12 = 8.0.\nThe answer is 8.0"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/058664.png
| null |
018427
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: AB span 10.0. Please provide the length of DC in shape ABCD.\nChoices:\nA: 8.5\nB: 10.0\nC: 7.5\nD: 5.0"
},
{
"from": "gpt",
"value": " AB = 10.0. Since all sides of ABCD, being a square, are equal, DC = AB = 10.0.\nAnswer: B"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/018427.png
| null |
028780
|
[
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: What is the measurement of the total area of HGIJ?"
},
{
"from": "gpt",
"value": "AB equals 8.0. As ABCD is a square, all its sides are of equal length. Thus, AD = AB = 8.0. As AD is 8.0, the rectangle has equal opposite edges, so EF is also 8.0. Given that EFG is an equilateral triangle, FG = EF = 8.0. The length of FG is 8.0. As the radius of the sector is constant, GH is also 8.0. Calculating the area of rectangle HGIJ, we get HG * IG = 8.0 * 8.0, which is 64.0. The semicircle with IJ as its diameter has an area of (HG/2)^2 * π/2 = 25.13. The total area therefore is 64.0 + 25.13 = 89.13.\nThe answer is 89.13"
}
] |
mavis_math_rule_geo
|
LLaVA-OneVision-Data/mavis_math_rule_geo/028780.png
| null |
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