# Lesson 2

Scale of the Solar System

### Problem 1

Figure $$G’$$ is the image of figure $$G$$ by a dilation with scale factor 2. Where is the center of this dilation?

A:

Point $$A$$

B:

Point $$B$$

C:

Point $$C$$

D:

Point $$D$$

### Problem 2

Dilate quadrilateral $$ABCD$$ using center $$A$$ and scale factor $$\frac{1}{2}$$.

### Problem 3

Triangle $$ABC$$ is dilated. The image is $$A'B'C'$$, find the value of $$x$$

### Problem 4

Polygon $$Q$$ is a scaled copy of Polygon $$P$$.

The value of $$x$$ is 6, what is the value of $$y$$?

A:

$$\frac72$$

B:

4

C:

$$\frac92$$

D:

5

### Solution

(From Unit 3, Lesson 1.)

### Problem 5

Solve each equation.

1. $$\frac{2}{5}=\frac{x}{20}$$
2. $$\frac{2}{3}=\frac{x}{10}$$

### Solution

(From Unit 3, Lesson 1.)

### Problem 6

$$WXYZ$$ is a kite. Angle $$WXY$$ has a measure of 94 degrees and angle $$ZYX$$ has a measure of 60 degrees. Find the measure of angle $$ZWY$$.