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In triangles ABC and PQR, \angleA =\angleQ and \angleB = \angleR. Which side of \triangle PQR should be equal to side BC of \triangleABC so that the two triangles are congruent? Give reason for your answer.

Answers (1)

Side BC should be equal to side PR.

Solution:

In triangles ABC and PQR

\angleA = \angleQ and \angleB = \angleR.

By congruency, corresponding angles and sides must be equal to each other in both triangles.

By the AAS criterion of congruence BC = PR.

Then \triangleABC \cong \triangleQRP

Hence, side BC should be equal to side PR.

 

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