### Abcd Is Parallelogram

ABCD is a parallelogram. What kind of quadrilateral is it if : (i) AC = BD and AC is perpendicular to … AC = BD but AC is not… AC = BD (Given)

&  AC ⊥ BD (Given)

i.e. Diagonal of quadrilateral are equal and they are ⊥ to each other

∴ ABCD is square.

(ii) AC ⊥ BD (Given)

But AC & BD are not equal

∴ ABCD is a rhombus.

(iii) AC = BD but AC & BD are not ⊥ to each other

∴ ABCD is a Rectangle.
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