Question

In triangle ABC, and triangle PQR, angle A =angleP, angleB = angleQ, AB = QR. Will the two triangles be congruent? Give reasons for your answer.

Answer 1

Answer : no , they are not congruent .

here , in triangle ABC and PQR

angle A is not equals to angle P

angle B is not equals to angle Q

by AA similarly postulate

in triangle ABC ~ triangle PQR

=> triangle ABC and PQR are congruent if....

=> if at least one pair of congruent sides is given them the triangle ABC and PQR can be prove congruent.

here AB = QR = AB is not equals to QR ( give)

but AB and QR are not the corresponding sides

=> triangle ABC and PQR are not congruent.

I hope it's help you