Question

Which congruence criterion will you use for proving the congruency of these two triangles?

Given: RP = ZX, RQ = ZY, $\angle PRQ=\angle XZY$
So, $\Delta PQR\cong \Delta XYZ$

Answer 1

Given, RP = ZX, RQ = ZY, $\angle PRQ=\angle XZY$
The two sides and one included angle in one of the triangle are equal to the corresponding sides and the angle of other triangle.

Hence, by SAS congruence criterion,
$\Delta PQR\cong \Delta XYZ$