Question

recall the 2 circles are congruent if they have the same radii. prove that equal chords of congruent circles subtend equal angles at their center ​

Answer 1

Answer:

Two circles are said to be congruent if and only if their radii are equal. Let AB & CD are two equal chords of two congruent circles with Centre O and O'. i.e AB= CD. Hence, equal chords of congruent circles subtend equal angles at their centres.