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: Recall rigid - transformation properties

Rigid transformations preserve shape and size. Reflection, rotation, and translation are rigid transformations. Dilation is not a rigid transformation as it changes the size of the figure.

Step2: Analyze the orientation and position

To map $\triangle FGH$ onto $\triangle VWX$, first, a rotation can be used to align the orientation of the triangles. Then, a translation can be used to move $\triangle FGH$ to the exact position of $\triangle VWX$.

Answer:

rotation, then translation