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:

Step1: Analyze the orientation

The triangles have different orientations. A rotation alone cannot map one onto the other as their relative - side positions are not in a simple rotational relationship.

Step2: Consider translation

Translation moves the triangle without changing its orientation or shape. First, a translation can be used to move $\triangle BCD$ so that one of its vertices coincides with a corresponding vertex of $\triangle WXY$.

Step3: Consider reflection

After translation, a reflection is needed to flip $\triangle BCD$ to match the orientation of $\triangle WXY$.

Answer:

translation, then reflection