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Theorem 9.2 - Chapter 9 Class 9 Circles
Last updated at April 16, 2024 by Teachoo
Angle subtended by chord at a point
Chapter 9 Class 9 Circles
Concept wise
- Terms and definations
-
Angle subtended by chord at a point
- Circle through 3 points
- Equal chords and their distance from centre
- Angle subtended by arc at the centre
- Cyclic quadrilaterals
Transcript
Theorem 9.2 If the angles subtended by the chords of a circle at the center are equal, then the chords are equal. Given : A circle with center O. AB and CD are chords that subtend equal angles at center i.e. ∠AOB = ∠DOC To Prove : AB = CD Proof : In ΔAOB & ΔDOC OA = OD ∠AOB = ∠DOC OB = OC ∴ ∆AOB ≅ ∆ COD ∴ AB = CD Hence, Proved.
