Understanding Mirror Images
When we talk about the mirror image of a point across the x-axis, we are essentially reflecting that point over the axis. The x-axis acts as a horizontal mirror.
Point Coordinates
- The original point given is (0, 4).
- Here, the x-coordinate is 0, and the y-coordinate is 4.
Reflection Process
- To find the mirror image across the x-axis, we need to change the sign of the y-coordinate while keeping the x-coordinate the same.
- The formula for the reflection of a point (x, y) across the x-axis is (x, -y).
Applying the Formula
- For the point (0, 4):
- x-coordinate remains 0.
- y-coordinate becomes -4.
Resulting Mirror Image
- Therefore, the mirror image of the point (0, 4) in the x-axis is (0, -4).
Summary
- Original Point: (0, 4)
- Mirror Image: (0, -4)
- Reflection Rule: Change the sign of the y-coordinate.
This simple process demonstrates how the coordinate system works, especially in regards to reflections across axes. Understanding these principles can be crucial in geometry and related fields.