Question

figure abcd underwent a series of transformations that result in figure abcd as shown below

use the drop - down menus to correctly complete the statements below

the figures are similar but not congruent/both similar and congruent/neither similar nor congruent which means that a dilation/... must have taken place. additionally, a rotation 90 - degrees clockwise/... was performed

Explanation:

Step1: Analyze similarity and congruence

Similar figures have the same shape but not necessarily the same size. Congruent figures have the same shape and size. Since the figures are of different sizes (one is larger than the other), they are not congruent. But they have the same shape (both are trapezoids), so they are similar.

Step2: Analyze transformation type

A dilation is a transformation that changes the size of a figure but not its shape. Since the size has changed, a dilation must have occurred.

Answer:

The figures are similar but not congruent, which means that a dilation must have taken place.