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Prove that cyclic parallelogram is a …

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Prove that cyclic parallelogram is a rectangle?

Posted by Kumar Savan 4 years, 11 months ago

CBSE > Class 09 > Mathematics

2 answers

Adarsh Pradeep 4 years, 11 months ago

Given: ABCD is a cyclic quadrilateral To Prove: ABCD is a rectangle Proof: angle A = angle c (parallelogram) angle A + angle C = 180° (opposite sides of a cyclic parallelogram is supplementary) 2 angle A =180° angle A = 90° One side of the parallelogram is 90° Therefore ABCD is a rectangle

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Akshith Konchada 4 years, 11 months ago

In a cyclic IIgm opp angles are supplementary. But opp angles are equal in a IIgm. So x+x=180. x=90 In a IIgm if an angle is 90 then it is a rectangle.

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CBSE > Class 09 > Mathematics

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CBSE > Class 09 > Mathematics