Question

Prove in parallelogram the diagonal bisects each other

Answer 1

It is shown in the above pic and explained simply

Answer 2

Step-by-step explanation:

Proof: consider parallelogram ABCD. Let the diagonal AC and BD intersect at O.

In angle AOB and angle COD

AB = CD ( property of a parallelogram) angle CDO =angle ABO (alternate angles)

angle DCO = angle BAO (alternate angles) angle AOB= angle COD (ASA)

Hence, OA=OC and OB=OD I.e., OD I. e., the diagonal AC and BD bisect each other at O.

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