G.2.2.2 Which Triangles Are Congruent?

Here are 3 triangles. Triangle PQR is congruent to triangle MNL, but not congruent to triangle ACE. Gently trace triangle PQR and compare it to triangle ACE and MNL to see why not.

Determine a sequence of rigid motions that takes triangle PQR to the triangle it is congruent to.

Explain why there can’t be a rigid motion from triangle PQR to the other triangle.