translation definition geometry
Translation (geometry) A translation moves every point of a figure or a space by the same amount in a given direction. A reflection against an axis followed by a reflection against a second axis parallel to the first one results in a total motion which is a translation. In Euclidean geometry, a translation is a function that moves every point a constant distance in a specified direction. (Also in Euclidean geometry a transformation is a one to one correspondence between two sets of points or a mapping from one plane to another.