Question

1. tarik is working on a photo album and moved a photo as shown. what transformation did he use?

use the information to answer problems 5–6.
ryan lays a pentagonal pattern on a piece of fabric.

1. if ryan slides the pattern two inches to the right, what happens to the measure of the angles of the pentagon?
2. ryan decides to rotate the pattern one - fourth turn clockwise. what happens to the lengths of the sides of the pattern?
3. (mp) reason beckie cuts out a piece of paper in the shape of a trapezoid with only one pair of parallel sides. the parallel sides are 2 inches apart. then she flips the shape over. what is the distance between the parallel sides of the flipped shape? explain how you know.
4. (mp) reason is figure b a transformation of figure a? why or why not?
5. (mp) reason is figure y a transformation of figure x? why or why not?

Explanation:

Problem 4

Step1: Identify transformation type

The photo is moved horizontally (from "Before" to "After" in the image), which is a translation (slide) transformation. Translations move figures without rotating or reflecting them, just changing position.

Step1: Recall properties of translation

A translation (sliding) is a rigid transformation. Rigid transformations preserve the shape and size of the figure, including angle measures. So sliding the pentagon doesn't change its angle measures.

Step1: Recall properties of rotation

A rotation is a rigid transformation. Rigid transformations preserve the side lengths of the figure. So rotating the pentagon doesn't change the lengths of its sides.

Answer:

Translation (or Slide)

Problem 5