# Lesson 2

Scale of the Solar System

- Let’s dilate figures.

### Problem 1

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

Point \(A\)

Point \(B\)

Point \(C\)

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 \(y\)?

\(\frac72\)

4

\(\frac92\)

5

### Problem 5

Solve each equation.

- \(\frac{2}{5}=\frac{x}{20}\)
- \(\frac{2}{3}=\frac{x}{10}\)

### 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 \(ZWY\).

### Problem 7

The semaphore alphabet is a way to use flags to signal messages. Here's how to signal the letter U. Describe a transformation that would take the right hand flag to the left hand flag.