what is a transformation that preserves distance in angle measure called

A transformation that preserves distance in angle measure is called an Isometry or Congruence transformation.

A transformation that preserves distance in angle measure is called an isometry.

A transformation that preserves distance and angle measure is called an isometry. Isometry is a term used in geometry to describe a transformation that maintains the same length and angle measurements as the original shape. There are several types of isometries, including reflection, rotation, translation, and glide reflection. Each of these transformations preserves distance and angle measures, meaning that the transformed shape is congruent to the original shape.