Question

the triangles are congruent by the sss congruence theorem which transformation(s) can map \\( \triangle lmn \\) onto \\( \triangle lmn \\)? translation only reflection only rotation then translation reflection then translation

Explanation:

To map \(\triangle LMN\) to \(\triangle L'M'N'\), first, a reflection is needed to flip the triangle to match the orientation. Then, a translation moves it to the exact position. A translation only would not change the orientation. A reflection only would not adjust the position. A rotation then translation is not the correct sequence as the orientation change is better achieved by reflection first. So, reflection then translation is the correct transformation.

Answer:

reflection then translation