What are the rotational symmetry orders of the following: Parallelogram, Rectangle, Square, Rhombus, Kite, and Trapezium? (Note: Trapezium, not Trapezoid)
Order of the rotational symmetry.
The number of positions in which a figure may be rotated and yet appear precisely as it did before the revolution is known as the order of symmetry.
Parallelogram: After a spin, the parallelogram transforms into itself. As a result, it possesses two rotational symmetry orders.
Rectangle: After a spin, the rectangle transforms into itself. As a result, it possesses two rotational symmetry orders.
Square: After a spin, the square transforms into itself. As a result, it has four rotational symmetry orders.
Rhombus: After a spin, the rhombus transforms into itself. As a result, it possesses two rotational symmetry orders.
Kite: After a spin, the rectangle transforms into itself. As a result, it possesses one rotational symmetry order.
Trapezium: After a spin, the trapezium transforms into itself. As a result, it possesses one rotational symmetry order.