Question

the triangles are congruent by the sss congruence theorem. which rigid transformation(s) can map △fgh onto △ vwx? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation

Explanation:

Step1: Analyze rotation

First, rotate \(\triangle FGH\) around point \(G\) (or \(W\)) so that the orientation of \(\triangle FGH\) starts to align with \(\triangle VWX\).

Step2: Analyze translation

After rotation, translate (slide) the rotated \(\triangle FGH\) so that it maps exactly onto \(\triangle VWX\). A reflection would flip the triangle in a way that might not align the corresponding sides and vertices as needed here (since the side - side - side congruence is given and we want a rigid transformation). Dilation is not a rigid transformation as it changes the size.

Answer:

rotation, then translation