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Theorem 9.1 - 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 9.1 Equal chords of a circle subtend equal angles at the center. Given: A circle with center O. AB and CD are equal chords of circle i.e. AB = CD To Prove : ∠AOB = ∠DOC Proof : In ΔAOB & ΔDOC AO = OD AB = CD OB = OC ∴ ∆AOB ≅ ∆ DOC ∴ ∠ AOB = ∠ DOC Hence, Proved.
