https://file.aiquickdraw.com/mathbot/file/1726683371403bjkxlq0g.jpg

The problem asks to find the coordinates of the vertices of triangle ABC after reflecting it over the x-axis.

The original triangle ABC has the following coordinates:
- \( A(2, 0) \)
- \( B(-1, 5) \)
- \( C(4, 3) \)

### Reflection Over the X-axis:
When reflecting a point over the x-axis, the x-coordinate remains unchanged, but the y-coordinate becomes its opposite (negation). Therefore, the new coordinates for each point after reflection are:

- \( A'(2, -0) = A'(2, 0) \) (since the y-coordinate of 0 stays 0)
- \( B'(-1, -5) \)
- \( C'(4, -3) \)

### Conclusion:
The new coordinates after reflection are:
- \( A'(2, 0) \)
- \( B'(-1, -5) \)
- \( C'(4, -3) \)

The correct option is **B)**.

Would you like more details or have any other questions?

Here are five related questions:
1. How do you reflect a point over the y-axis?
2. What happens to the coordinates when reflecting over the origin?
3. Can you explain how to reflect over the line \(y = x\)?
4. How would the coordinates change if reflected over the line \(y = -x\)?
5. What is the difference between translation and reflection in geometry?

**Tip:** When reflecting across the x-axis, only the y-coordinate changes its sign, while the x-coordinate remains unchanged.

Triangle ABC has coordinates A(2, 0), B(-1, 5), and C(4, 3). Determine the coordinates of the vertices of the image after a reflection in the x-axis.

Learn how to determine the reflected coordinates of triangle ABC with vertices A(2, 0), B(-1, 5), and C(4, 3) over the x-axis. This problem covers key concepts of coordinate geometry and reflections. Suitable for Grades 7-9.

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