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The task asks to reflect the coordinates of the vertices \( T \), \( U \), \( V \), and \( W \) over the x-axis. Let's first find the original coordinates of these points:

- \( T \): \( (-6, -4) \)
- \( U \): \( (-6, -2) \)
- \( V \): \( (-4, -2) \)
- \( W \): \( (-4, -4) \)

To reflect a point over the x-axis, the y-coordinate is multiplied by \(-1\), while the x-coordinate remains the same. Applying this transformation:

1. \( T(-6, -4) \rightarrow T'(-6, 4) \)
2. \( U(-6, -2) \rightarrow U'(-6, 2) \)
3. \( V(-4, -2) \rightarrow V'(-4, 2) \)
4. \( W(-4, -4) \rightarrow W'(-4, 4) \)

Thus, the reflected coordinates are:

- \( T'(-6, 4) \)
- \( U'(-6, 2) \)
- \( V'(-4, 2) \)
- \( W'(-4, 4) \)

Let me know if you want any further details or clarifications.

Here are 5 related questions:
1. What happens when reflecting a point over the y-axis?
2. How do we reflect a point over the line \( y = x \)?
3. Can you explain how to reflect a point over the origin?
4. How would the reflection change if it was over the line \( y = -x \)?
5. How do translations differ from reflections?

**Tip:** When reflecting points, always remember that only one coordinate changes: for x-axis reflections, it's the y-coordinate, and for y-axis reflections, it's the x-coordinate.

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

Learn how to reflect the coordinates of vertices over the x-axis. This problem explains the reflection of points (T, U, V, W) over the x-axis, transforming their y-coordinates. Suitable for students in Grades 6-8.

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