The diagonals of a parallelogram bisect each other.
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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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