Isometric Transformation
An isometric transformation (or isometry) is a shape-preserving transformation (movement) in the plane or in space. The isometric transformations are reflection, rotation and translation and combinations of them such as the glide, which is the combination of a translation and a reflection.

Similarity transformation
A similarity transformation is a conformal mapping whose transformation matrix can be written in the form.
thank u so much.this is true for geomentry