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Points that map onto themselves are said to be invariant points. Invariant points can occasionally appear during a rotation.
Do rotations have invariant points?
- The axis of rotation is a line of invariant points that defines the rotation of a three-dimensional figure in space.
- Since rotation does not alter the shape of the figure being rotated, it is referred to as an isometric transformation along with translation and reflection.
Points that map onto themselves are said to be invariant points. Invariant points can occasionally appear during a rotation.
The point of rotation is invariant when a figure is rotated about that point. There are no invariant points in a rotation of a figure centered on a point that is not on the figure.
Point P is an invariant point in the rotation shown below.
Learn more about invariant points
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