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The diagonal of a parallelogram bisect …

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The diagonal of a parallelogram bisect each other

Posted by Gravit Kulhari 5 years, 4 months ago

CBSE > Class 09 > Mathematics

2 answers

Madhav Sisodiya 5 years, 4 months ago

Thanks

1Thank You

Yogita Ingle 5 years, 4 months ago

ABCD is a parallelogram, diagonals AC and BD intersect at O

In triangles AOD and COB,

_∠DAO = _∠BCO (alternate interior angles)

AD = CB

_∠ADO = _∠CBO (alternate interior angles)

AOD COB (ASA)

Hence, AO = CO and OD = OB (c.p.c.t)

Thus, the diagonals of a parallelogram bisect each other.

2Thank You

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CBSE > Class 09 > Mathematics