1. Plural of isometry; transformations that preserve distances between points in a geometric space.
Usage: mathematics; geometry
2. In mathematics, mappings between metric spaces that preserve the distance metric.
Usage: technical; mathematics

Examples

• Rotations and reflections are common examples of isometries in the plane.
• The study of isometries helps mathematicians understand the structure of geometric spaces.
• Translations are isometries because they move every point the same distance without changing shape.
• In metric spaces, isometries preserve the distances between all pairs of points.
• The group of isometries of a square includes rotations, reflections, and translations.