# Translation (geometry)

In Euclidean geometry,**translation**is an isometry of Euclidean space which moves every point by a fixed distance in the same direction. It can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.

A translation cannot be accomplished using a 3-by-3 matrix, so homogeneous coordinates are normally used.

To translate an object by a vector *v* = (*v _{x}, v_{y}, v_{z}*), each homogeneous vector

*p*= (

*p*, 1) would need to be multiplied with this translation matrix:

_{x}, p_{y}, p_{z}

## See also