https://file.aiquickdraw.com/mathbot/file/1729962378464sswpx2bc.jpg

To find the coordinates of the vertices after reflecting over the y-axis, we need to take each vertex and apply the reflection transformation.

For a reflection over the y-axis:
- Each x-coordinate changes sign, while the y-coordinate remains the same.

### Original Coordinates:
Let's identify the coordinates of points \( B \), \( C \), and \( D \) from the image:
1. **Point \( B \)**: \( (8, 2) \)
2. **Point \( C \)**: \( (7, 9) \)
3. **Point \( D \)**: \( (5, 5) \)

### Reflected Coordinates:
1. **Point \( B' \)** after reflection: \( (-8, 2) \)
2. **Point \( C' \)** after reflection: \( (-7, 9) \)
3. **Point \( D' \)** after reflection: \( (-5, 5) \)

### Answer:
After reflecting over the y-axis, the new coordinates of the vertices are:
- \( B' = (-8, 2) \)
- \( C' = (-7, 9) \)
- \( D' = (-5, 5) \)

Would you like a detailed explanation of the reflection process? 

Here are some related questions to explore further:
1. What are the coordinates of vertices if we reflect them over the x-axis instead?
2. How do we perform a reflection over the line \( y = x \)?
3. How does reflecting over both axes affect the coordinates?
4. Can we use matrix transformations for reflections? If so, how?
5. How does reflecting over a non-axis line (e.g., \( y = -x \)) affect points?

**Tip:** For any reflection, only the coordinates relative to the reflection line change—coordinates perpendicular to that line stay the same.

Write the coordinates of the vertices after a reflection over the y-axis.

Learn how to find the coordinates of vertices after reflecting them over the y-axis. This guide includes the original and reflected coordinates of points and explains the transformation process step-by-step, ideal for students in Grades 6-8.

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