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To reflect a point across the **x-axis**, we change the sign of its **y-coordinate**, while keeping the **x-coordinate** the same.

Given point \( A(4, 1) \):
- The x-coordinate stays the same: \( x = 4 \).
- The y-coordinate changes sign: \( y = -1 \).

Thus, the reflection of point \( A(4, 1) \) across the x-axis is \( (4, -1) \).

So, the correct answer is **D: (4, -1)**.

Would you like more details on this, or have any questions? Here are some related questions to explore:

1. What is the reflection of point \( (x, y) \) across the y-axis?
2. How do you reflect a point across the origin?
3. How would you reflect a point across the line \( y = x \)?
4. What is the geometric significance of reflecting a point?
5. How do transformations such as translations and reflections differ?

**Tip:** Reflections only change one coordinate—across the x-axis, you change the y-value; across the y-axis, you change the x-value.

What is the reflection across the x-axis of point A(4, 1)?

Learn how to find the reflection of point A(4, 1) across the x-axis in this simple geometry problem. Discover the formula for reflecting a point across the x-axis and understand key concepts of coordinate geometry. Suitable for students in Grades 6-8.

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