Category:Definitions/Symmetries (Geometry)

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This category contains definitions related to symmetries in the context of geometry.
Related results can be found in Category:Symmetries (Geometry).


A symmetry of a geometric figure $P$ is a bijection from $P$ to itself which preserves the distance between points.

In other words, it is a self-congruence.


Intuitively and informally, a symmetry is a movement of the figure so that it looks exactly the same after it has been moved.