Point in relation to which all the points in the figure are symmetric in pairs.

Therefore, the centre of symmetry of a figure is the centre of a point symmetry that overlays the figure onto itself.

### Examples

- Each endpoint of a segment whose endpoints are on the edge of the polygon and that passes through the centre
*O*of the regular polygon is equidistant from point*O*. Therefore, the centre*O*is the centre of symmetry of the figure.

A regular hexagon has a centre of symmetry, but a regular pentagon does not have a centre of symmetry. - The meeting point of the diagonal lines of a parallelogram is the centre of symmetry of the parallelogram. In this figure, points
*A*and*C*are symmetric in relation to the centre*E*:

- The centre of a sphere is also its centre of symmetry.

- An isosceles trapezoid does not have a centre of symmetry unless it is a rectangle. Points
*A*and*C*are not symmetric with respect to the intersection point*E*of its diagonals: