Reflection over x-axis
This is an example of this rigid motion transformation.
Reflection over x-axis means reflecting a shape or object across the x-axis. The x-axis is the horizontal axis that runs through the origin of a coordinate plane, separating the plane into upper and lower halves. A reflection over the x-axis results in a mirror image of the original shape or object being produced below the x-axis.
To reflect a shape or object over the x-axis, each point on the original shape must be reflected in a way that results in a corresponding point being created below the x-axis. To achieve this, we take the y-coordinate of each point and change its sign to obtain the y-coordinate of the reflected point.
For example, if we reflect the point (2,5) over the x-axis, the image point will have the same x-coordinate of 2, but the y-coordinate will become -5. So, the reflected point is (2,-5). Similarly, if we reflect the line y = 3 over the x-axis, we get the line y = -3, which is the mirror image of the original line below the x-axis.
In summary, reflection over the x-axis means reflecting a shape or object across the horizontal x-axis in a way that results in a mirror image being produced below the x-axis.
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