Centrally symmetric figure Centrally symmetric: in the plane, rotate the figure around a point by 180. If the rotated figure coincides with another figure, the shapes of these two figures are explained. This point is symmetrical about the center, which is called its symmetrical center, and the two overlapping points after rotating180 are called symmetrical points.
Common centrosymmetric figures include line segments, rectangles, diamonds, squares, parallelograms, circles, regular polygons with even sides and some irregular figures. Even-numbered polygons are central symmetric figures, while odd-numbered polygons are not central symmetric figures. A regular hexagon is a centrally symmetric figure, an isosceles trapezoid is not a centrally symmetric figure, an equilateral triangle (regular triangle) is not a centrally symmetric figure, and an image hyperbola of an inverse proportional function is a centrally symmetric figure with the origin as the symmetric center.
The property of central symmetry is 1. For two graphs with central symmetry, the line segments connected by symmetric points both pass through and are equally divided by the symmetric center.
2. Two centrosymmetric figures are congruent.
3. Two figures with symmetrical centers, whose corresponding line segments are parallel to each other (or on the same straight line) and equal.
The above is my mathematical knowledge about centrosymmetric figures, and I hope it will help you.