Question

prove that if chords of congruent circles subtend equal angles at their centres then the chords are equal​

Answer 1

In ΔAOB and ΔCO'D,

AOB = CO'D (Given)

OA = O'C (Radii of congruent circles)

OB = O'D (Radii of congruent circles)

ΔAOB  ΔCO'D (SAS congruence rule)

AB = CD (By CPCT)

Hence, if chords of congruent circles subtend equal angles at their centers, then the chords are equal.

Answer 2

Answer:

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Step-by-step explanation: