Question

the triangles are congruent by sss or hl. which transformation(s) can map △pqr onto △stu?
○ translation only
○ rotation only
○ rotation, then reflection
○ reflection, then translation

Explanation:

First, observe the orientation of the two triangles: △PQR has its right angle at Q with vertices ordered P-Q-R, while △STU has its right angle at T with vertices ordered S-T-U, which is a mirrored orientation relative to △PQR. A reflection is needed to flip the triangle to match the orientation, and then a translation can move the reflected triangle to overlap perfectly with △STU. Translation or rotation alone cannot fix the mirrored orientation, and rotation then reflection is not necessary here.

Answer:

reflection, then translation