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Rigid Motion

Rigid Motion

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

A rigid motion is a transformation that preserves the size and shape of a figure.

Key Points:

  • Also called a congruence transformation.

  • Distances between points and angle measures stay the same.

  • The figure may change position or orientation, but not its shape or size.

The 3 types of rigid motions:

  1. Translation (sliding)

  2. Reflection (flipping)

  3. Rotation (turning)

Example:

If a square is rotated 90° or reflected over a line, it’s been moved — but it’s still the same square, just in a different position.

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Learn the whole picture

This term is one piece. Our courses build it into everything around it—short videos, practice, and the “why” behind every concept.

Algebra 1

Lines, slope, functions & more

Geometry

Shapes, proofs & spatial reasoning

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