Question
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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Text solutionVerified
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 Type | Text solution:1 |
Upvotes | 150 |