https://file.aiquickdraw.com/mathbot/file/17298863386483pvp0j6t.jpg

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

From the image, point \( K \) is located at \( (1, 4) \).

The reflection of \( K \) across the x-axis will result in \( K' \), which has the coordinates \( (1, -4) \).

Thus, the correct answer is \( (1, -4) \).

Would you like more details or have any questions? Here are 5 related questions for further exploration:

1. What are the new coordinates for points \( C \), \( J \), and \( M \) after reflection across the x-axis?
2. How would the reflection change if it were across the y-axis instead of the x-axis?
3. Can you describe the rule for reflecting a point across the origin?
4. What transformations, other than reflections, could change the position of the shape on the coordinate plane?
5. What is the general formula for reflecting a point across the line \( y = x \)?

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

Find K' if the figure is reflected across the x-axis.

Learn how to reflect point K (1, 4) across the x-axis. After reflection, the coordinates of K' become (1, -4). This problem illustrates the key geometric concept of reflection across the coordinate plane and is suitable for students in Grades 8-10.

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