Question

the triangles are congruent by sss and hl.
which transformation(s) can be used to map △rst onto
△vwx?
○ reflection only
○ translation only
○ reflection, then translation
○ rotation, then translation

Explanation:

To map \( \triangle RST \) onto \( \triangle VWX \), we analyze the orientation. \( \triangle RST \) and \( \triangle VWX \) are congruent right triangles but have a mirror - like orientation (due to the position of the right angle and the sides). A reflection would flip \( \triangle RST \) to match the orientation of \( \triangle VWX \), and then a translation (sliding) would move it to the exact position of \( \triangle VWX \). A single reflection or translation alone won't work, and rotation is not needed here as the main orientation change is a reflection followed by translation.

Answer:

reflection, then translation