State true or False.
In the given figure, the two triangles are congruent.

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True

False

answer is A.

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Detailed Solution

The statement is True.

Given AB∥PQ and AB=PQ.
In triangles AOB and POQ,
∠OAB=∠OQP (Alternate interior angles)
∠OBA=∠OPQ (Alternate interior angles)
And, AB=PQ (Given)
By using the A.S.A congruency rule, ΔAOB≅ΔPOQ
So, the triangles formed are congruent to each other.

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