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The image shows two quadrilaterals where the figure on the right is a scaled copy of the figure on the left. Since the figures are similar, their corresponding sides are proportional, and corresponding angles are congruent. To analyze the scale factor and geometric relationships, we can consider corresponding vertices: 

- \( F \leftrightarrow S \)
- \( G \leftrightarrow T \)
- \( H \leftrightarrow V \)
- \( I \leftrightarrow U \)
- \( J \leftrightarrow W \)

### Approach:
1. **Determine the Scale Factor**: To find the scale factor, we can compare the lengths of corresponding sides from the two shapes. For example, measure the distance from \( F \) to \( I \) and compare it with the distance from \( S \) to \( U \). The ratio between these distances will give us the scale factor.
   
2. **Verify Corresponding Angles**: Since the figures are similar, each corresponding angle (such as \( \angle FGH \) and \( \angle STV \)) should be equal.

Would you like me to calculate the scale factor or analyze specific properties of the shapes further?

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Here are some related questions that might extend your understanding:

1. How do you calculate the area of two similar figures when you know the scale factor?
2. How do you verify the congruency of angles in similar polygons?
3. Can you derive the lengths of other sides if you know the scale factor and one pair of corresponding sides?
4. How would the perimeter of the figures relate to the scale factor?
5. What is the difference between similar and congruent shapes in geometry?

**Tip**: The square of the scale factor gives you the ratio of the areas of two similar figures.

The figure on the right is a scaled copy of the figure on the left.

Learn how to determine the scale factor between two similar polygons and analyze their proportional sides and congruent angles. This problem helps understand the similarity theorem and proportionality relationships in geometric figures. Suitable for students in Grades 6-8.

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