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Ex 9.1, 2 - Chapter 9 Class 9 Circles
Last updated at Dec. 13, 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
Ex 9.1, 2 Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal. Given: Two congruent circles C1 & C2 AB is the chord of C1 & PQ is the chord of C2 & AOB = PXQ To prove: Chords are equal, i.e., AB = PQ Proof: In AOB & PXQ AO = PX AOB = PXQ BO = QX AOB PXQ AB = PQ
