<prompt> Katika pembetatu ABC, ABAC25 na BC23. Pointi D,E, na F ziko kwenye pande overlineAB, overlineBC, na overlineAC, mtawalia, kiasi kwamba overlineDE na overlineEF ni sambamba na overlineAC na overlineAB, mtawalia. Je, mzunguko wa sambamba ADEF ni upi?asyhalisi r57;jozi A10,sqrt282-100,Basili,C20,0,DA.xr,A.yr;jozi chiniC.xD.x-A.x,C.yD.y-A.y;jozi EkiendeleziD,chini,B,C;jozi ya juuE.xD.x,E.yD.y;jozi FkiendeleziE,juu,A,C;choraA--B--C--mzungukoD--E--F;nuktaABCDEF;leboA,A,NW;leboB,B,SW;leboC,C,SE;leboD,D,W;leboE,E,S;leboF,F,dir0;asy  <response>: Kwa kuwa overlineDE parallel overlineAC na overlineEF parallel overlineAB,pembetatu pembetatu BDE na pembetatu EFC ni sawa na pembetatu ABC , na hivyo pia ni isosceles. Hiyo ni, BD DE na EF FC.Kisha mzunguko wa ADEF ni anzaaligned AD DE EF AF AD BD FC AF AB AC 25 25 50 . mwishozilizopangiliwa 