Q. 24.3( 323 Votes )

Prove that if cho

Answer :

Let us consider two congruent circles (circles of same radius) with centers as O and O


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.

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