Question

21.    Prove that equal chords of a circle subtend equal angles at the centre.​

Answer 1

Statement:-

• Equal chords of a circle subtend equal angles at the centre.

Given:-

AB and CD are chords of a circle with centre O, such that AB = CD.

To proof:-

• ∠AOC = ∠COD

Proof:-

In ΔAOB and ΔCOD,

AO = CO [radii of same circle]

BO = DO [radii of same circle]

AB = CD [given]

ΔAOB ≅ ΔCOD [SSS]

∠AOB = ∠COD [C. P. C. T]

Hence, Equal chords of a circle subtend equal angles at the centre.

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Hope it helps : )

Answer 2

Answer:

It was my yesterday homework lol... hope it helps(sorry for the writing :P)