Question

Prove that $\Delta ABC\cong \Delta PQR$ using AAS congruence condition.

Answer 1

$\Delta ABC\cong \Delta PQR$
If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.
Angle-Angle-Side(AAS) congruence condition:
In the diagram shows, $\angle B\cong \angle E$ and $\angle A\cong \angle D$.
The line segment $\overline{BC}\cong \overline{EF}$.
The above conditions are satisfying that AAS congruence of a triangle $ABC$ and $PQR$.