Question

The triangles are congruent by the SSS congruence theorem. Which rigid transformation(s) can map FGH onto VWX?

A.reflection, then rotation
B.reflection, then translation
C.rotation, then translation
D.rotation, then dilation

Answer 1

Answer:C. rotation, then translation

Answer 2

Answer:- C. rotation, then translation

Given:-ΔFGH≅Δ VWX by SSS congruence theorem.

We know that the basic rigid transformation [ rotation, reflection and translation] create a congruent image.

From the given figure it can be seen that the first transformation must be rotation of 180° about point G on ΔFGH.

Then The triangle must be translated G to W by a fixed distance to form the image Δ VWX.

Thus, the rigid transformations can map ΔFGH onto ΔVWX are C.rotation, then translation.