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If a pair of sides of a cyclic quadrilateral are equal then prove that their diagonals are also equal

Posted by Sargam Kakkar 7 years, 11 months ago

CBSE > Class 09 > Mathematics

1 answers

Anuska Thakur 7 years, 11 months ago

Given: Cyclic quadrilateral ABCD such that AD = BC To Prove: AB parallel to CD Construction: Join BD Proof: Given that AD = BC Arc DA = Arc BC ∠2 = ∠1 [Equal chords subtend equal angles at the circumference of the circle] The angles ∠1and ∠2 are alternate interior angles. Therefore, AB is parallel to CD.

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CBSE > Class 09 > Mathematics