Geometry · Transformations

Rigid Motion

HSG-CO.A.2

Definition

A transformation (slide, flip, or turn) that preserves size and shape, producing a congruent image.

Examples

  • Translations, reflections, and rotations are all rigid motions.
  • A rigid motion never changes a figure's distances or angles.

Key rule

Rigid motions always preserve distance and angle, so the image is congruent to the original.

Memory hook

Slide, flip, or turn — size and shape never change.