Question

use the drop - down menus below to state the sequence of transformations that maps figure x onto figure y in the animation below. then use those transformations to determine: are the two figures congruent? use the drop - down menus to explain why or why not.

Explanation:

Step1: Observe the orientation change

The figure has been rotated.

Step2: Observe the size - no change

The lengths of the sides seem to be the same.

Step3: Recall congruence definition

Two figures are congruent if they have the same shape and size. Since rotation is a rigid - motion (preserves shape and size), and there is no dilation (no change in size).

Answer:

The two figures are congruent because rotation is a rigid - motion that preserves the shape and size of the figure.