Active and passive transformation

Geometric transformations can be distinguished into two types: active or alibi transformations which change the physical position of a set of points relative to a fixed frame of reference or coordinate system (alibi meaning "being somewhere else at the same time"); and passive or alias transformations which leave points fixed but change the frame of reference or coordinate system relative to which they are described (alias meaning "going under a different name"). For instance, active transformations are useful to describe successive positions of a rigid body.

Source: Wikipedia — Active and passive transformation (CC BY-SA 4.0)