Question

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

Answer 1

Parallelogram - 2,
Rectangle - 2,
Square - 4,
Rhombus - 2,
Kite - 1 and
Trapezium - 1

Explanation:

Order of rotational symmetry is the number of times within `360^o` rotation when an object coincides with its original form.

Parallelogram turns into itself after a rotation on `180^o`,
Rectangle turns into itself after a rotation on `180^o`,
Square turns into itself after a rotation on `90^o`,
Rhombus turns into itself after a rotation on `180^o`,
Kite turns into itself after a rotation on `360^o`, and
Trapezium turns into itself after a rotation on `360^o`.