isometry

What Are The Three Main Isometries?

by

What Are The Three Main Isometries? 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 transformations are also known as rigid motion. What are the three types of rigid transformation? There are three basic rigid transformations: reflections,

What Do Isometries Preserve?

by

What Do Isometries Preserve? An isometry of the plane is a linear transformation which preserves length. Isometries include rotation, translation, reflection, glides, and the identity map. Two geometric figures related by an isometry are said to be geometrically congruent (Coxeter and Greitzer 1967, p. 80). Do isometries preserve angles? In Euclidean geometry, every distance-preserving map