Ex 9.1, 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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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