Question

1. park 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. 5. if ryan slides the pattern two inches to the right, what happens to the measure of the angles of the pentagon? 6. ryan decides to rotate the pattern one - fourth turn clockwise. what happens to the lengths of the sides of the pattern?

Explanation:

4.

Step1: Identify the transformation

The photo is moved from one position to another without changing its orientation, size or shape. This is a translation.

Step1: Recall properties of a pentagon

A regular pentagon has interior - angle sum given by the formula $(n - 2)\times180^{\circ}$, where $n = 5$. So, $(5 - 2)\times180^{\circ}=540^{\circ}$, and each interior angle of a regular pentagon is $\frac{(5 - 2)\times180^{\circ}}{5}=108^{\circ}$. When Ryan slides the pattern two inches to the right, the angles of the pentagon remain the same.

Step1: Understand rotation

A one - fourth turn clockwise is a rotation of $90^{\circ}$ clockwise. In a rotation, the lengths of the sides of a shape do not change. Rotation is a rigid transformation that preserves side - lengths and angle - measures.

Answer:

Translation

5.