Question

If chords of congruent circles subtend equal angles at the centre, then prove that the chords are equal.​

Answer 1

To Prove :-

• Chords are equal, ie,, RJ = SM

Given :-

• X1 and X2 are two congruent circle.
• RJ is chord of circle X1.
• SM is chord of circle X2.
• ∠RAJ = ∠SOM

Proof :-

In ΔRAJ & ΔSOM,

⟶ AR = OS (Radius of congruent circles are equal)

⟶ ∠RAJ = ∠SOM (Given)

⟶ AJ = OM (Radius of congruent circles are equal)

⟶ ΔRAJ = ΔSOM (By S-A-S test)

⟶ RJ = SM (CPCT)

Hence Proved!!

Answer 2

Answer:

Step-by-step explanation: