https://file.aiquickdraw.com/mathbot/file/172938768239012iccee2.jpg

The problem requires reflecting points on the coordinate plane over the **Y-axis** and then identifying the coordinates of their reflections. Here’s a step-by-step solution based on the provided grid:

### Original Points and their Reflections:

1. **Point A (5, 4)**
   - Reflection across the Y-axis: Change the sign of the x-coordinate.
   - Reflected Point: **(-5, 4)**

2. **Point B (-3, -3)**
   - Reflection across the Y-axis: Change the sign of the x-coordinate.
   - Reflected Point: **(3, -3)**

3. **Point C (2, -5)**
   - Reflection across the Y-axis: Change the sign of the x-coordinate.
   - Reflected Point: **(-2, -5)**

4. **Point D (-4, 2)**
   - Reflection across the Y-axis: Change the sign of the x-coordinate.
   - Reflected Point: **(4, 2)**

### Summary of Reflected Coordinates:
- **A: (-5, 4)**
- **B: (3, -3)**
- **C: (-2, -5)**
- **D: (4, 2)**

Would you like more details on how reflections across the Y-axis work or have any questions?

### 5 Related Questions:
1. What is the general rule for reflecting a point across the Y-axis?
2. How would the points be reflected if reflected across the X-axis instead?
3. What are the coordinates of point A if reflected across both the X-axis and Y-axis?
4. How does reflecting a point across the origin differ from reflecting across an axis?
5. Can you explain the geometric significance of reflecting across the Y-axis?

### Tip:
When reflecting across the Y-axis, only the x-coordinate changes sign while the y-coordinate remains the same.

Reflect the points A, B, C, and D across the Y-axis and identify their reflected coordinates.

Learn how to reflect points across the Y-axis on the coordinate plane and find their reflected coordinates. This problem covers geometric reflections and how to change coordinates when reflected across the Y-axis. Suitable for students in Grades 6-8.

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