Question

verify if chords of non congruent circles subtend equal angles at the centre​

Answer 1

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ANSWER

Given: Teo congruent circle C

1

& C

2

equal angle at centres.

Prove: Chords are equal

Proof

Let radius of these two circles are R

Now in ΔABC and ΔPQR

∠ABC=∠PQR (given)

AB=PQ (Radius of congruent circles are equal)

BC=QR

ΔABC≅ΔPQR (SAS congruence rule)

∴AC=PR