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Question

Diagonals of a parallelogram bisect each other.

A
Not sure
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B
No
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C
Sometimes
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D
Yes
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Solution

The correct option is D Yes

We have to prove diagonals of parallelogram ABCD bisect each other.
As OA=OC and OB=OD
Now, in ΔAOD and ΔBOC
AD=BC [opposite sides are equal]
ADO=CBO [alternate interior angle]
Similarly, DAO=BCO
ΔAODΔBOC by (ASA rule)
Therefore, OA=OC & OB=OB [ By CPCT]

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