Question

prove that if chords of congruent circles subtended equal angle at their centres then the chords are equal​

Answer 1

Step-by-step explanation:

I hope that it will helps you.

Answer 2

Let us consider two congruent circles (circles of same radius) with centres as O and O'.

In ∆AOB and ∆CO'D,

∠AOB = ∠CO'D (Given)

OA = OF (Radii of congruent circles)

OB = OD (Radii of congruent circles)

∆AOB = ∆CO'D (SAS congruence rule)

AB = CD (By CPCT)

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