👉 An isometry in mathematics is a mapping between two sets of points, where it preserves distances and angles but reverses orientation. This means that when you apply an isometry to any point in one set, the image will be the same distance from the original point on the other set. An example of an isometry is the reflection across the x-axis in a square. Isometries are fundamental tools in geometry, as they allow us to describe geometric transformations without altering their effect on the points themselves