# Measuring Dilations

ID: tozog-zifab

Illustrative Math

Subject: Geometry

Grade: 9-12

# Measuring Dilations

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##### Problem 1

1) Pentagon $A'B'C'D'E'$ is the image of pentagon $ABCDE$ after a dilation centered at $F$. What is the scale factor of this dilation?

##### Problem 2

2) A polygon has perimeter 12 units. It is dilated with a scale factor of $\frac{3}{4}$. What is the perimeter of its image?

a) $\text{9 units}$b) $\text{12 units}$c) $\text{16 units}$d) $\text{It cannot be determined.}$

##### Problem 3

3) Triangle $ABC$ is taken to triangle $A'B'C'$ by a dilation. Which of these scale factors for the dilation would result in an image that was larger than the original figure?

a) $\frac{3}{5}$b) $\frac{13}{17}$c) $\text{1}$d) $\frac{4}{3}$

##### Problem 4

4) Dilate quadrilateral $ABCD$ using center $D$ and scale factor 2.

##### Problem 5

5) Dilate Figure $G$ using center $B$ and scale factor 3.

##### Problem 6

6) Polygon $Q$ is a scaled copy of Polygon $P$. The value of $x$ is 6. What is the scale factor?

a) $\frac{3}{4}$b) $\frac{4}{3}$c) $\text{3}$d) $\text{4}$

##### Problem 7

7) Prove that segment $AD$ is congruent to segment $BC$.