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.