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:

Step1: Analyze orientation of triangles

$\triangle PQR$ and $\triangle STU$ have opposite orientations. A translation or rotation alone will not change the orientation.

Step2: Consider transformation combinations

A reflection can change the orientation. After reflection, a translation can be used to map the vertices exactly. A rotation - then - reflection combination is not necessary as the main requirement is to change orientation and align the triangles.

Answer:

reflection, then translation