Question

which composition of transformations will create a pair of similar, not congruent triangles?

○ a rotation, then a reflection
○ a translation, then a rotation
○ a reflection, then a translation
○ a rotation, then a dilation

Explanation:

Congruent figures preserve shape and size; similar figures preserve shape but not size. Rotations, reflections, and translations are rigid transformations (preserve size, so congruent). Dilation changes size (preserves shape, so similar but not congruent). Only the composition with dilation (rotation then dilation) creates similar non-congruent triangles.

Answer:

D. a rotation, then a dilation