Question

1. what transformation would map the pre - image onto the image? are they congruent?

options:
this is a translation, and the figures are congruent.
this is a dilation, and the figures are not congruent.
this is a rotation, and the figures are congruent.
this is a reflection, and the figures are not congruent

Explanation:

The red triangle (pre-image) and purple triangle (image) have the same shape and size, so they are congruent. The transformation that maps one to the other involves turning around a fixed point (rotation), not sliding (translation), resizing (dilation), or flipping (reflection). Rotations preserve congruence.

Answer:

This is a rotation, and the figures are congruent.