Question

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

Explanation:

Step1: Analyze the orientation of the triangles

$\triangle PQR$ and $\triangle STU$ have different orientations. A translation only would not change the orientation. A rotation only also may not align them properly.

Step2: Consider reflection and translation

First, reflect $\triangle PQR$ (a reflection changes the orientation). Then, translate the reflected triangle (a translation moves the figure without rotation or resizing) to map it onto $\triangle STU$.

Answer:

reflection, then translation