Question

theorem class 9 of. circles with if and then​

Answer 1

Step-by-step explanation:

Two equal chords of a circle subtend equal angles at the centre of the circle.

Circle Theorem 1

Proof: Given, in ∆AOB and ∆POQ,

AB = PQ (Equal Chords) …………..(1)

OA = OB= OP=OQ (Radii of the circle) ……..(2)

From eq 1 and 2, we get;

∆AOB ≅ ∆POQ (SSS Axiom of congruency)

Therefore, by CPCT (corresponding parts of congruent triangles), we get;

∠AOB = ∠POQ

Hence, Proved.