Prove that if chords of congruent circles subtend equal angles at the

This question was asked in Ex 9.2, 3

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

Rafaqat Romeo Rafaqat

Sept. 5, 2020, 11:03 a.m.

Answers!

Don 2

Sept. 5, 2020, 5:28 p.m.

Let congruent Circle with centre O and Ò with chord AB and PQ respectively subtend equal angle at o and ò
Now,

OA =ÒP=r
Angle AOB = PÒQ (Given)
OB = ÒQ = r
By SAS Triangle OAB and ÒPQ are congruent
AB=PQ by cpct

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