What are the rotational symmetry orders of the following: Parallelogram, Rectangle, Square, Rhombus, Kite and Trapezium? (Note: Trapezium, not Trapezoid)

The number of positions in which a figure can be rotated and still appears exactly as it did before the rotation, is called the order of symmetry.

Solution

Parallelogram

Parallelogram turns into itself after a rotation on 180. Hence it has 2 orders of rotational symmetry.

Rectangle
Rectangle turns into itself after a rotation on 180. Hence it has 2 orders of rotational symmetry.

Square
Square turns into itself after a rotation on 90. Hence it has 4 orders of rotational symmetry.

Rhombus
Rhombus turns into itself after a rotation on 180. Hence it has 2 orders of rotational symmetry.

Kite
Kite turns into itself after a rotation on 360. Hence it has 1 orders of rotational symmetry.

Trapezium
Trapezium turns into itself after a rotation on 360. . Hence it has 1 orders of rotational symmetry.