Prove that equal chords of a circle subtend equal angles at the centre. [3]
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Step-by-step explanation:
If we take the chords AB and CD are equal and the centre of circle O.
OA = OB = OC = OD = radius.
and we know that
AB = CD
So triangle OAB and OCD are congruent by SSS criterion.
So by CPCT(Congruent Parts of Congruent Triangles are equal), angle AOB = angle COD.
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