What Is the Definition of "translation" in Geometry?

A geometrical translation moves or slides a shape a fixed distance without rotating it, resizing it or performing any other sort of transformation to it. Translations move every point within the shape the same distance and preserve the geometrical properties of the original shape.

Translations differ from reflections and rotations. In a reflection or rotation, the points of the shape are moved varying distances based upon the distance the original points were from a given line or point outside the shape. Translations preserve the orientation of the angles to one another. For this reason, a translation is considered a direct isometry or a type of transformation that preserves the length of all sides and the placement of the angles in relation to one another.