Q: 2     Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.

Answers (1)
M mansi

Given : chords of congruent circles subtend equal angles at their centres,

To prove :  BC = QR

Proof : 

In \triangleABC and \trianglePQR,

     \angleBAC=\angleQPR       (Given)

    AB = PQ          (Radii of congruent circle)

    AC = PR          (Radii of congruent circle)

Thus,  \triangleABC \cong \trianglePQR         (By SAS rule)

      BC = QR             (CPCT)

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