https://file.aiquickdraw.com/mathbot/file/1729088346451m49vw4rf.jpg

To solve this problem, we need to reflect point \( U \) across the line \( y = 3 \).

### Steps to Reflect Point \( U \) Across \( y = 3 \):
1. **Find the vertical distance** from point \( U \) to the line \( y = 3 \).
2. **Reflect the point** by moving it the same distance on the opposite side of the line.

Let's go step by step.

1. **Identify the coordinates of point \( U \)** from the image. Based on the grid, point \( U \) appears to be at \( U(3, 5) \).
2. The line \( y = 3 \) is horizontal. To reflect \( U(3, 5) \) across this line:
   - Point \( U \)'s y-coordinate is 5.
   - The distance from \( y = 5 \) to \( y = 3 \) is \( 5 - 3 = 2 \).
   - Now reflect \( U \) by subtracting the distance from 3: \( 3 - 2 = 1 \).

Therefore, the reflection of point \( U(3, 5) \) across \( y = 3 \) is \( U'(3, 1) \).

### Final Answer:
The coordinates of \( U' \) are \( (3, 1) \).

Would you like further details or have any questions?

Here are 5 relative questions to expand:
1. How do you reflect points across a vertical line (like \(x = \text{constant}\))?
2. What is the general formula for reflecting points across a horizontal line?
3. How does reflecting across the origin differ from reflecting across a line?
4. How would you describe the transformation properties of reflection in terms of distances and angles?
5. Can reflections change the orientation of a figure?

**Tip:** When reflecting points across a horizontal or vertical line, only one coordinate (either \( x \) or \( y \)) changes, while the other remains the same.

Where is U' after reflecting across the line y = 3?

Find the reflection of point U across the line y = 3 on a coordinate plane. This problem uses geometry concepts of reflections and requires calculating the new coordinates by reflecting the point over a horizontal line.

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