Question

recall that two circles are congruent if they have the same radii prove that equal chords of congruent circle subtend equal equal angles and their centres​

Answer 1

proved that equal chords of congruent circle subtend equal equal angles at their centres​

Step-by-step explanation:

Let say there are two congruent circle with cenetr A  &  P

Radius of circle is same as congruent circle

let say BC  & QR are Equal Chords

Then if we compare ΔABC & ΔPQR

AB = PQ  ( radius)

AC = PR  ( radius)

BC = QR  ( equal chord given)

=>  ΔABC ≅ ΔPQR

=> ∠BAC  = ∠QPR

These are the angles subtended by chord at center

Hence proved that equal chords of congruent circle subtend equal equal angles at their centres​

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Answer 2

Answer:

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