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Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

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Let us consider a circle with center and two equal chords of a circle and

We need to prove that

In and ,  we have 

 (Radius of the circle) 

 (Radius of the circle) 

 (Equal chords)

By criterion of congruence, we have 

 

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Question Text
Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.
Answer TypeText solution:1
Upvotes150