Understanding Reflection Over the x-Axis in Mathematics | Definitions, Examples, and Step-by-Step Guide

reflection over x-axis

When reflecting a point, shape, or a graph over the x-axis, we essentially mirror it by flipping it upside down

When reflecting a point, shape, or a graph over the x-axis, we essentially mirror it by flipping it upside down. This means that the y-coordinate of each point is negated while the x-coordinate remains unchanged.

For example, if we have a point (2, 3) and want to reflect it over the x-axis, we would negate the y-coordinate and the new coordinates of the reflected point will be (2, -3).

Similarly, when reflecting a shape or a graph over the x-axis, we would flip the shape or graph so that the original points that were above the x-axis would now be below it, and the points that were below the x-axis would now be above it.

To perform a reflection over the x-axis, you can follow these steps:

1. Start with the original shape, graph, or point.
2. For each point, keep the x-coordinate the same, but negate the y-coordinate.
3. Plot the new points after the reflection.

It’s important to note that the x-axis serves as the “mirror line” for the reflection. Anything above the x-axis gets flipped below it, and anything below the x-axis gets flipped above it.

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