What is a reflection across the x-axis?
Understand the Problem
The question is asking for an explanation of what a reflection across the x-axis means in mathematics, particularly in geometry. This typically involves the transformation of points in a coordinate system where the y-coordinates of the points change sign.
Answer
(x, -y)
The reflection across the x-axis changes the y-coordinate to its opposite while keeping the x-coordinate unchanged.
Answer for screen readers
The reflection across the x-axis changes the y-coordinate to its opposite while keeping the x-coordinate unchanged.
More Information
Reflecting a point across the x-axis flips it over the x-axis, creating a mirror image.
Tips
A common mistake is changing the x-coordinate instead of the y-coordinate. Always remember to keep the x-coordinate the same.
Sources
- Reflection Over The X and Y Axis: The Complete Guide - Mashup Math - mashupmath.com
- Reflection Rules in Math | Graph, Formula & Examples - Study.com - study.com
- Review of Transformations - MathBitsNotebook - mathbitsnotebook.com
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