1. 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.

1. Recall that two circles are congruent if they have the same radii.

1.	1. 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» Let US consider a CIRCLE with center O and two equal chords of a circle AB and CD.We NEED to prove that ∠AOB=∠CODIn △ AOB and COD, we have AO=CO (RADIUS of the circle) BO=DO (Radius of the circle) AB=CD (Equal chords)By SAS criterion of congruence, we have △AOB≅△COD⇒∠AOB=∠COD HOPE it helps!!!!

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1. 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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1. 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.