Question

if the angles subtended by the chords of a circle at the centre are equal then the chords are equal​

Answer 1

Answer:

Step-by-step explanation:

Given: ∠AOB and ∠POQ are two equal angles subtended by chords AB and PQ of a circle at its centre O.  To Prove : AB = PQ  Proof : In ∆AOB and ∆POQ,  OA = OP [Radii of a circle]  OB = OQ [Radii of a circle]  ∠AOB = ∠POQ [Given]  ∴ ∆AOB ≅ ∆POQ [By SAS]  ∴ AB = PQ [By cpctc]  

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Answer 2

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