Rigid motion

A rigid motion is a type of transformation used in geometry. A transformation is a way to move or change a figure on a plane. They are special because they do n

Rigid motion

A rigid motion is a type of transformation used in geometry. A transformation is a way to move or change a figure on a plane. They are special because they do not change the size or shape of a figure.[1] They are transformations that preserve distance and angle measure.[2] This means that when a figure is moved using a rigid motion, all the side lengths stay the same as they were before the movement.[2] It also means that all angle measures stay the same as they were before the movement. Because both distance and angle measure stay the same, the figure after the transformation is congruent to the figure before the transformation. In a rigid motion, there is a clear idea of “before” and “after.” The original figure is called the before image. The new figure after the transformation is called the after image. Even though the position of the figure may change, the measurements do not change. The shape stays exactly the same. There are three kinds of rigid motions: reflections, translations, and rotations.[1]

References

  1. ↑ 1.0 1.1 "Rigid Motion and Congruence - MathBitsNotebook(Geo)". mathbitsnotebook.com. Retrieved 2026-06-18.
  2. ↑ 2.0 2.1 "10.1: Transformations Using Rigid Motions". Mathematics LibreTexts. 2020-01-14. Retrieved 2026-06-18.

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