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Prove that if chords of congruent …

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Prove that if chords of congruent circles subtend equal angles at their centres , then the chords are equal

Posted by Harjeet Kaur 4 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 4 years, 9 months ago

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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CBSE > Class 09 > Mathematics