the triangles are congruent by sss or hl. which transformation(s) can map △pqr onto △stu? translation only…

Explanation:

Step1: Analyze orientation of triangles

$\triangle PQR$ and $\triangle STU$ have different orientations. A translation only moves a figure without changing its orientation, so it won't work.

Step2: Consider rotation

A rotation alone may not align the triangles as their relative - side positions may not match perfectly.

Step3: Evaluate rotation - then - reflection

A rotation followed by a reflection can change both the orientation and the position to map one triangle onto the other.

Step4: Check reflection - then - translation

A reflection first flips the figure and a translation moves it. But this combination may not align the triangles correctly as the initial orientation change by reflection may not be followed by the right movement.

Answer:

rotation, then reflection