To answer your question, we need specific lengths or coordinates for the vertices of triangles ABC and PQR, as well as the image you mentioned. Without that information, I cannot calculate the lengths of AB, BC, and PQ or confirm the congruence of the triangles using the HL (Hypotenuse-Leg) Congruence Theorem.
If you can provide me with either the lengths of the sides, the coordinates of the vertices, or any additional details, I'll be glad to assist further!