  The invariant properties are distinguished from non-invariant properties. Best known of the non-invariant properties are those dependent on a particular choice of coordinate system. For example, just one event in a two-dimensional Euclidean space lies at the origin of coordinate system, that is, at x=0, y=0. But which event that is, changes when we change our coordinate system. So “being at the origin” is not an invariant. The spatial distance between two points, however, is that same no matter coordinate system is used to describe the space. It is an invariant.