Equal Chord Theorem – Theorem on Circles

Equal Chord Theorem – Theorem on Circles

Equal Chord Theorem – Theorem on Circles CBSE Class IX ICSE Class X – Theorem 6 – In a circle, if angles subtended at the Centre by Chords are equal, then Chords are equal by Ankit Mahajan for SuccessCDs Education Channel.

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About this Video:

Given : Circle with Centre O
AOB = COD

To Prove : AB = CD

Proof: In ΔAOB & ΔCOD
OA = OC (Radii of Same Circle)
OB = OD

AOB = COD (given)
ΔAOB       ΔCOD (SAS Congruency)

BY CPCT
AB = CD

Hence Proved!