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

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