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

Rotational symmetry refers to the property of a shape where it appears unchanged after a certain degree of rotation. The number of rotational symmetric orders a shape has is determined by the number of distinct rotations that leave the shape looking the same. Here are the rotational symmetric orders for the shapes you mentioned:

Parallelogram:

A parallelogram has rotational symmetry of order 2. It looks the same after a 180-degree rotation about its center.
Rectangle:

A rectangle has rotational symmetry of order 2, just like a parallelogram, because it also looks the same after a 180-degree rotation.
Square:

A square has rotational symmetry of order 4. It looks the same after rotations of 90, 180, and 270 degrees about its center.
Rhombus:

A rhombus also has rotational symmetry of order 2, just like a parallelogram and a rectangle, because it looks the same after a 180-degree rotation.
Kite:

A kite typically has rotational symmetry of order 2, similar to other parallelograms and rhombi. It looks the same after a 180-degree rotation.
Trapezium (Trapezoid in American English):

A trapezium (or trapezoid) generally does not have rotational symmetry, unless it is a specific type of trapezium called an isosceles trapezium, which has rotational symmetry of order 2 due to its congruent base angles. In most cases, a trapezium does not have any rotational symmetry.
So, to summarize:

Parallelogram, Rectangle, Rhombus, and Kite have rotational symmetry of order 2.
Square has rotational symmetry of order 4.
Trapezium typically does not have rotational symmetry, but an isosceles trapezium has rotational symmetry of order 2.