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Point of Symmetry

Point of Symmetry

A special center point for certain kinds of symmetric figures or graphs. If a figure or graph can be rotated 180° about a point P and end up looking identical to the original, then P is a point of symmetry.

 

Example:  

Graph of a curve with a point of symmetry at (–2, 1) marked in red, showing an S-shaped cubic curve on an x-y axis.

This is a graph of the curve Mathematical equation: y = (1/3)x³ + 2x² + 3x + 5/3together with its point of symmetry (–2, 1).

The point of symmetry is marked in red.

 

See also

Symmetric with respect to the origin, axis of symmetry