In geometry, a **Euclidean plane isometry** is an isometry of the Euclidean plane, or more informally, a way of transforming the plane that preserves geometrical properties such as length. There are four types: translations, rotations, reflections, and glide reflections (see below under classification of Euclidean plane isometries).

The set of Euclidean plane isometries forms a group under composition: the Euclidean group in two dimensions. It is generated by reflections in lines, and every element of the Euclidean group is the composite of at most three distinct reflections.

Read more about Euclidean Plane Isometry: Informal Discussion, Formal Definition, Classification of Euclidean Plane Isometries, Isometries As Reflection Group, Isometries in The Complex Plane

### Other articles related to "euclidean plane isometry, plane":

**Euclidean Plane Isometry**- Isometries in The Complex Plane

... In terms of complex numbers, the isometries of the

**plane**either of the form or of the form for some complex numbers a and ω with

### Famous quotes containing the word plane:

“with the *plane* nowhere and her body taking by the throat

The undying cry of the void falling living beginning to be something

That no one has ever been and lived through screaming without enough air”

—James Dickey (b. 1923)