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Ex 10.2, 1 - Recall that two circles are congruent if - Ex 10.2

  1. Chapter 10 Class 9 Circles
  2. Serial order wise
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Ex 10.2, 1 Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. Given: Two congruent circles C1 & C2 AB is the chord of C1 & PQ is the chord of C2 AB = PQ To prove: Angle subtended by chords are equal i.e. ∠ AOB = ∠ PXQ Proof: In ∆ AOB & ∆ PXQ AO = PX BO = QX AB = PQ ∆ AOB ≅ ∆ PXQ ∴ ∠ AOB = ∠ PXQ

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