To prove a triangle to be congruent,here are the proves you can use:
Side-Angle-Side equal (SAS)
All sides equal (SSS)
Angle-Side-Angle equal (ASA)
Angle-Angle-Side equal (AAS)
Right-angle-hypotenuse-side (RHS)
In this case:
AB=AB (common)
<A=<B (given)
AQ=BP (given)
Therefore,it would be Side-Angle-Side equal (SAS)
Hope it helps!
