In triangles ABC and PQR, A =Q and B = R. Which side of PQR should be equal to side BC of ABC so that the two triangles are congruent? Give reason for your answer.
Side BC should be equal to side PR.
Solution:
In triangles ABC and PQR
A = Q and B = R.
By congruency, corresponding angles and sides must be equal to each other in both triangles.
By the AAS criterion of congruence BC = PR.
Then ABC QRP
Hence, side BC should be equal to side PR.