Q: 2 Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.
Given : chords of congruent circles subtend equal angles at their centres,
To prove: BC=QR
Proof:
In △XYZ and △PQR, ∠YXZ=∠QPR (Given) XY=PQ (Radii of congruent circle) XZ=PR (Radii of congruent circle) Thus, △XYZ≅△PQR( By SAS rule) YZ=QR (CPCT)
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