Do all regular polygons have rotational symmetry?

Yes, because if a regular polygon is turned around a specific point (the angle of rotation) and matches up again, it has rotation symmetry. For example, a hexagon is a regular polygon with six sides. All sides are the same length and the same size. When you turn it around the angle of rotation, it matches with the next side. read more

Rotation Symmetry of Regular Polygons An applet is used to explore the rotation symmetry of regular polygons. If a 2-D figure or shape is rotated (or turned) around a point by a certain angle and looks the same as the original figure or shape then it has a rotation symmetry. read more

Regular polygons all have rotational symmetry, and the order of their rotational symmetry is always equal to the number of sides. The angle of rotation for each turn is equal to 360 divided by the number of sides. read more