punktsümmeetriatega

Punktsümmeetriatega is a term that refers to symmetry with respect to a point. In geometry, a shape or figure possesses point symmetry if it can be rotated by 180 degrees around a central point and appear unchanged. This means that for every point on the figure, there is a corresponding point on the opposite side of the center, at an equal distance from it.

The central point of symmetry is often called the center of symmetry. If a figure has point symmetry, then reflecting any point on the figure through the center of symmetry results in another point that is also on the figure. This property is distinct from line symmetry, which involves reflection across a line.

Examples of figures with point symmetry include parallelograms, circles, and ellipses. A regular hexagon also exhibits point symmetry, with its center being the point of symmetry. Not all symmetrical figures have point symmetry. For instance, an isosceles triangle has line symmetry but not point symmetry. The concept of point symmetry is fundamental in various areas of mathematics, including geometry and crystallography.