Write the coordinates of the vertices after a reflection over the x-axis.
p( -7,-4) q(-7,-1) r ( -2,-1) s(-2,-4)

To reflect a point over the x-axis, the y-coordinate of the point changes sign while the x-coordinate remains the same. Let's apply this to each vertex:

1. **P(-7, -4)** reflects to **P'(-7, 4)**
2. **Q(-7, -1)** reflects to **Q'(-7, 1)**
3. **R(-2, -1)** reflects to **R'(-2, 1)**
4. **S(-2, -4)** reflects to **S'(-2, 4)**

Thus, the coordinates of the vertices after the reflection over the x-axis are:
- P'(-7, 4)
- Q'(-7, 1)
- R'(-2, 1)
- S'(-2, 4)

Would you like more details or have any questions?

Here are five related questions to explore:
1. What are the coordinates after reflecting over the y-axis?
2. How do you reflect a point across the line y = x?
3. What happens when you reflect a shape twice over the x-axis?
4. How do the coordinates change when translating instead of reflecting?
5. How can you reflect a point across any arbitrary line?

**Tip:** When reflecting over the x-axis, always focus on flipping the sign of the y-coordinate while leaving the x-coordinate unchanged.

Write the coordinates of the vertices after a reflection over the x-axis. P(-7,-4) Q(-7,-1) R(-2,-1) S(-2,-4)

Learn how to reflect the vertices P(-7, -4), Q(-7, -1), R(-2, -1), and S(-2, -4) over the x-axis. This solution walks through the reflection process and provides the new coordinates step-by-step. Key geometry concepts like coordinate plane reflections are covered. Ideal for Grades 6-8 students.

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