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 - facing orientations.

Step2: Recall transformation properties

A translation and a rotation alone will not change the orientation of a figure. A reflection changes the orientation.

Step3: Determine correct transformation

To map $\triangle PQR$ onto $\triangle STU$, we first need a reflection to change the orientation and then a translation to move it into the correct position.

Answer:

reflection, then translation