👉 In mathematics, an isometry is a transformation that preserves distances between points in Euclidean space. It can be thought of as a special type of linear transformation that preserves angles between vectors and does not change their lengths or directions. Isometries are fundamental in geometry because they allow us to describe transformations that preserve the shape and orientation of objects, rather than just their position. They play a crucial role in many areas of mathematics, such as topology, calculus, and physics. Examples of isometries
