Question

which pair of transformations could map △abc to △abc, such that the triangles are similar but not congruent?
a rotation and a reflection
a dilation and a rotation
a translation and a reflection
a rotation and a translation

Explanation:

Step1: Recall transformation properties

Rotations, reflections and translations are rigid - motions. They preserve side - lengths and angles, creating congruent figures.

Step2: Recall dilation property

Dilation changes the size of a figure. When combined with a rotation (which is a rigid - motion), it can create a similar but non - congruent figure. A dilation will change the lengths of the sides of the triangle while a rotation will change its orientation.

Answer:

B. a dilation and a rotation