Question

the triangles are congruent by the sss congruence theorem. which transformation(s) can map △bcd onto △wxy? rotation only reflection only translation, then rotation translation, then reflection

Explanation:

• First, analyze the positions of the two triangles.
• A translation is needed to move \(\triangle BCD\) to the general area of \(\triangle WXY\) as their initial positions are separate.
• Then, a reflection is required to flip \(\triangle BCD\) (after translation) to match the orientation of \(\triangle WXY\). A rotation alone cannot achieve the correct orientation after the initial position adjustment. A reflection alone cannot account for the position shift. A translation - then - rotation would not give the correct orientation as rotation does not flip the figure in the way needed here.

Answer:

translation, then reflection