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CBSE Class 9 Answered

Do the diagonals of a ||gm bisect each other ?
Asked by | 20 Oct, 2012, 01:23: PM
answered-by-expert Expert Answer
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

Answered by | 20 Oct, 2012, 02:26: PM

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