Question

9. Prove that the diagonals of a parallelogram bisect each other

Answer 1

|| ✪✪ QUESTION ✪✪ ||

Prove that the diagonals of a parallelogram bisect each other..

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✰✰ ANSWER ✰✰

Given :.

ABCD is a parallelogram..

AB = CD. And. BC = AD

To prove:.

OA = OC. And OB = OD

PROOF : -

IN Δ DOA and Δ BOC

AD = BC. (GIVEN)

∠ADO = ∠CBI (ALTERNATE ANGLES)

∠DAO = ∠BCO (ALTERNATE ANGLES )

So , by ASA(Angle Side Angel ) rule Δ DOA ≅ Δ BOC

NOW,

OA = OC & OB = OD. (By CPCT rule)

✺ HENCE PROVED ✺

Answer 2

Answer:

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