In mathematics, a rigid transformation or a Euclidean transformation is a transformation from a Euclidean space to itself such that any object will have the same shape and size before and after the transformation; only its position and orientation have been changed.
In mathematics, a rigid transformation or a Euclidean transformation is a transformation from a Euclidean space to itself such that the distance between each pair of points is unchanged. In particular, any object will have the same shape and size before and after the transformation; only its position and orientation have been changed.