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19/07/2021 1:30 pm
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Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.
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19/07/2021 1:31 pm
Consider the following diagram
In ΔPOO’ and ΔQOO’
OP = OQ (Radius of circle 1)
O’P = O’Q (Radius of circle 2)
OO’ = OO’ (Common arm)
So, by SSS congruency, ΔPOO’ ≅ ΔQOO’
Thus, ∠OPO’ = ∠OQO’ (proved).