https://file.aiquickdraw.com/mathbot/file/1725925377424eop7zdev.jpg

To solve the problem, we need to identify the side on the figure on the right that corresponds to segment \( FG \) on the figure on the left and find the scale factor between the two figures.

### Step 1: Corresponding Side
The figures shown are scaled copies, which means corresponding sides are proportional, and the order of letters provides a clue about the correspondence between sides.

- On the left figure, \( FG \) is the top side of the smaller figure.
- The corresponding side in the larger, scaled figure should be the top side as well, which is \( SW \) on the right.

So, **side \( SW \) corresponds to side \( FG \).**

### Step 2: Finding the Scale Factor
To find the scale factor, we compare the lengths of corresponding sides.

- Let's measure the lengths of \( FG \) and \( SW \).
  
  - \( FG \) appears to be 2 units long (measuring the grid units).
  - \( SW \) appears to be 6 units long.

The scale factor is the ratio of the lengths of the corresponding sides:
\[
\text{Scale factor} = \frac{\text{Length of } SW}{\text{Length of } FG} = \frac{6}{2} = 3
\]

### Final Answer:
- The side that corresponds to segment \( FG \) is \( SW \).
- The scale factor is 3.

Let me know if you need further clarification or more details.

Here are some related questions:
1. How do we know if two figures are similar?
2. What are some properties of scaled figures?
3. How do you find the scale factor if the figures are rotated?
4. What happens to the angles when figures are scaled?
5. How does the area change with scaling?

**Tip:** When dealing with scaled figures, always compare corresponding sides and make sure the order of points helps you determine the right correspondences.

Which side in the figure on the right corresponds to segment FG, and what is the scale factor?

Learn how to find the corresponding sides of scaled figures and calculate the scale factor. In this example, segment FG on the smaller figure corresponds to SW on the larger figure, and the scale factor is calculated as 3.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation