In mathematics, an isometry (or congruence, or congruent transformation) is a distance -preserving transformation between metric spaces, usually assumed to be bijective. [a] The …

Isometries can be classified as either direct or opposite, but more on that later. In the diagram below, both the image and the preimage of $$\triangle ABC $$ have the same dimensions, …

Jan 21, 2020 · What is isometry? That's exactly what you're going to learn today in this detailed geometry lesson with 9 step-by-step examples!

MathBitsNotebook Geometry Lessons and Practice is a free site for students (and teachers) studying high school level geometry.

Nov 10, 2025 · An isometry of the plane is a linear transformation which preserves length. Isometries include rotation, translation, reflection, glides, and the identity map.

Nov 21, 2023 · In isometry, the change in an object or image that one is concerned with is only with respect to that object's position, direction, and orientation and not its appearance and form.

Isometry is a geometric transformation that preserves the distances between points. In simpler terms, if two points have a certain distance between them before the transformation, that …

There are many ways to move two-dimensional figures around a plane, but there are only four types of isometries possible: translation, reflection, rotation, and glide reflection. These …

Isometries are transformations that preserve distances and angles, meaning the original shape and its image are congruent. This key characteristic allows for a seamless transition in position …

The concepts of symmetry and isometry are central to the study of geometry. An isometry is a distance preserving map from some space it itself: a rigid motion. For example, f (x)=x+5 is a …