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Prove that in a parallelogram diagonals …

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Prove that in a parallelogram diagonals bisect each other

Posted by Sowjanya Lekisha 5 years, 4 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 5 years, 4 months ago

Given : ||gm ABCD in which diagonals AC and BD bisect each other.
To Prove : OA = OC and OB = OD
Proof : AB || CD (Given)
∠1 = ∠2 (alternate ∠s)
∠3 = ∠4 = (alternate ∠s)
and AB = CD (opposite sides of //gm)
∆COD = ∆AOB (A.S.A. rule)
OA = OC and OB = OD
Hence the result.

3Thank You

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CBSE > Class 08 > Mathematics