Question

2. Prove that if chords of congruent circles subtend equal angles at their centers, then the chords
are equal. answer for this if u are class 9

Answer 1

Answer:

Step-by-step explanation:

AB is the chord of the circle with centre O and A'B' is a chord of the circle with centre O'. AB = A'B' (Given). Hence, equal chords of two congruent circles subtend equal angles at their respective centres. Hence, proved.

Answer 2

in △AOB and △PXQ

AO=PX [Radius of congruent circles are equal]

∠AOB=∠PXQ [Given]

BO=QX [Radius of congruent circles are equal]

△AOB≅△PXQ [SAS congruence rule]

∴AB=PQ [CPCT]