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Transformations and symmetry

Explain what changes and what is preserved by moving, reflecting, and rotating shapes.

Meaning

Translations, rotations, and reflections change position or orientation while preserving lengths and angles. Symmetry can mean a figure coincides with itself after a transformation.

Example

Practice for this concept

Scope and references

Topics

Translations, reflections, rotations, line and point symmetry

Learning goal

Explain what changes and what is preserved by moving, reflecting, and rotating shapes.

Helpful background

Compare positions, directions, and corresponding points.

Transformations and symmetry

These choice exercises use stated geometric conditions. They do not establish construction, drawing, spatial manipulation, written proof, or mastery of the whole geometry area.