Question

If chords of congruent circles subtend equal angles at the centre, then prove that the chords are equal?​

Answer 1

Answer:

If the radius of two circles is equal then they are called congruent.

So in given figure

In triangle ABO & PQO

OA=OP(radii)

Angle AOB=Angle POQ(given)

OB=OQ(radii)

By SAS

Triangle ABO Is congruent to PQO

By CPCT

AB=PQ

Hence, proved