When we reflect a point across the line y = x, the x- and y-coordinates swap positions.
What do we mean by Reflection across y = x?
- When we reflect a point across the line y = x, the x- and y-coordinates swap places.
- When we reflect over the line y = -x, the x- and y-coordinates swap places and become negated (the signs are changed).
- The line y = x defines the point (y, x).
- The line y = -x is the point (-y, -x).
- Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure.
- The line of reflection will be directly in the middle of the original figure and its image.
Therefore, when we reflect a point across the line y = x, the x- and y-coordinates swap positions.
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