Rotational symmetry is a property of a shape that looks the same after some rotation by a partial turn. A shape has rotational symmetry when it still looks the same after some rotation of less than one full turn. The degree of rotational symmetry is the number of distinct orientations in which an object looks the same after rotation. The order of rotational symmetry is defined as the number of times the geometrical figure is identical to the original figure undergoing one complete rotation. The angle of rotational symmetry is defined as the smallest angle at which the figure can be rotated to coincide with itself, and the order of symmetry is how the object coincides with itself when it is in rotation.
Some examples of shapes with rotational symmetry include squares, circles, regular hexagons, and equilateral triangles. The order of rotational symmetry for a square is 4, while for a regular hexagon, it is 6. The order of rotational symmetry for a shape can be determined by counting the number of times the rotated figure exactly fits into the original figure undergoing one complete rotation.
In summary, rotational symmetry is a type of symmetry in which a shape looks the same after some rotation by a partial turn. The degree of rotational symmetry is the number of distinct orientations in which an object looks the same after rotation, while the order of rotational symmetry is the number of times the geometrical figure is identical to the original figure undergoing one complete rotation.
