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Q.

If the circles shown in the below diagram have the centers A and B, and they have the same radius then ΔAPQ≅ΔBPQ.

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a

True

b

False

answer is A.

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Detailed Solution

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The statement is true.

If the circles have the same radius, the problem is solved. As a result, the two circles are similar.
In ∆APQ and ∆BPQ
AP=BP in triangles (Radius of the congruent circles)
AQ = BQ (Radius of the congruent circles)
PQ = PQ (Common side)
By using the S.S.S congruence rule, APQ≅ΔBPQ

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If the circles shown in the below diagram have the centers A and B, and they have the same radius then ΔAPQ≅ΔBPQ.