Understanding X-Axis Reflections | What You Need to Know

what does an x-axis reflection look like

An x-axis reflection, sometimes referred to as a reflection over the x-axis, is a transformation that flips a point or shape across the x-axis

An x-axis reflection, sometimes referred to as a reflection over the x-axis, is a transformation that flips a point or shape across the x-axis. This means that every point above the x-axis will be reflected below the x-axis, and every point below the x-axis will be reflected above the x-axis.

To illustrate this visually, imagine a simple shape like a triangle. If we were to perform an x-axis reflection on the triangle, any point on the original triangle that lies above the x-axis will be reflected below the x-axis, and any point below the x-axis will be reflected above the x-axis. The result is a new triangle that appears as a mirror image of the original, with the top of the original triangle becoming the bottom of the reflected triangle, and vice versa.

Similarly, if we have a singular point on the coordinate plane, for example, (3, 2), performing an x-axis reflection will result in the point (3, -2). The x-coordinate of the point remains the same, but the y-coordinate changes sign due to the reflection.

In general, an x-axis reflection can be understood as a transformation that flips all points or shapes across the x-axis, swapping their positions above and below the x-axis.

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