https://file.aiquickdraw.com/mathbot/file/1727366476964lehehmh2.jpg

Based on the image, we see two rectangles with corresponding dimensions:

1. **Rectangle 1:**
   - The top side is labeled as \( SV = 12 \)
   - The bottom side is labeled as \( TU = 12 \)
   - The left side is \( ST \), and the right side is \( VU \) (lengths are not specified)

2. **Rectangle 2:**
   - The top side is labeled as \( LO = 9 \)
   - The bottom side is \( MN = 9 \)
   - The left side is \( LM = 3 \), and the right side is \( ON = 3 \)

### Questions:
1. **Which line segment corresponds to segment SV?**
   Since \( SV = 12 \) on the first rectangle, we need to find a side of the second rectangle with the same length. The corresponding side would be \( LO = 9 \) (this assumes there is no matching side exactly equal to 12).

2. **Which line segment corresponds to segment ON?**
   \( ON = 3 \) on the second rectangle, so the corresponding side on the first rectangle is likely the vertical side \( ST \) or \( VU \) (assuming both are also 3 units, though not labeled).

3. **Which angle corresponds to angle VUT?**
   \( \angle VUT \) is the bottom right corner of the first rectangle. In the second rectangle, the corresponding angle is \( \angle ONM \), which is also in the bottom right corner.

### Do you want further clarifications or detailed reasoning?

### Related Questions:
1. How can you prove two rectangles are congruent based on their side lengths?
2. What property of a rectangle ensures all angles are right angles?
3. If the rectangles were scaled versions of each other, what scale factor relates them?
4. How can you determine the perimeter of each rectangle from the given lengths?
5. What is the area of each rectangle, and how can that help in understanding their correspondence?

**Tip:** Remember that corresponding angles and sides of congruent figures are equal, and proportions of similar figures match their scaling factor.

Which line segment corresponds to segment SV? Which line segment corresponds to segment ON? Which angle corresponds to angle VUT?

In this problem, students will identify the corresponding sides and angles between two rectangles. Learn to apply the properties of congruent figures and understand how corresponding angles and sides relate. Suitable for students in Grades 7-9.

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