Prove that the diagonals of a parallelogram bisect each other.

Explanation

We have to prove diagonals of parallelogram ABCD bisects each other.

i.e, `OA=OC & OB=OD`

Now In `ΔAOD and ΔBOC`

`AD=BC` [opposite sides are equal]

`∠ADO=∠CBO` [alternate interior angle]

Similarly `∠DAO=∠BCO`

`ΔAOD≅ΔBOC` by (ASA rule)

So,

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