Sat October 20, 2012 By:

Do the diagonals of a ||gm bisect each other ?

Expert Reply
Sat October 20, 2012
Answer : 
Let in parallelogm ABCD, AC and BD are diagonals of it . 


ABCD is a parallelogram ,therefore

AB is parallel to DC and AD is parallel to BC

in triangle AOB and COD


AB=CD(opp sides of parallelogram are equal)


therefore triangle AOB= triangleCOD(ASA congurence criterian)

OA=OC & OB=OD(cpct)

hence,  diagonals of parallelogram bisect each other

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