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Geometry Reflection

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Examples, solutions, videos, worksheets, games and activities to help Geometry students learn about transformations on the coordinate plane. In this lesson, we will look at reflection.

What is Reflection in Geometry?

A reflection is an isometry, which means the original and image are congruent, that can be described as a "flip".
To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite. Corresponding parts of the figures are the same distance from the line of reflection.
Ordered pair rules reflect over the x-axis: (x, -y), y-axis: (-x, y), line y = x: (y, x).

The following diagram shows how to reflect points and figures on the coordinate plane. Examples shown are reflect across the x-axis, reflect across the y-axis, reflect across the line y = x. Scroll down the page for more examples and solutions on reflection in the coordinate plane.

Reflection Coordinate Plane

Geometry Reflection
Math Reflection On Coordinate Plane

Describing reflections of simple shapes in the plane, and how to draw them.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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