Chart illustrating the rotational symmetry of different quadrilaterals, including square, rectangle, parallelogram, rhombus, kite, trapezium, isosceles trapezium, and irregular quadrilateral.

Problem Analysis:

The task involves understanding and explaining the order of rotational symmetry for different types of quadrilaterals. The order of rotational symmetry is defined as the number of times a shape looks exactly the same during a full rotation (360°). For example, a square has an order of 4 because it looks the same after rotations of 90°, 180°, 270°, and 360°.

The table provided lists various quadrilaterals along with their images and the corresponding orders of rotational symmetry. Our goal is to verify and explain the entries in the "Order of Rotational Symmetry" column.

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Solution Explanation:

#### 1. Square
- Shape: A square has all sides equal and all angles equal to 90°.
- Rotational Symmetry:
- After a rotation of 90°, the square looks the same.
- After a rotation of 180°, the square looks the same.
- After a rotation of 270°, the square looks the same.
- After a rotation of 360°, the square looks the same.
- Total: The square looks the same 4 times during a full rotation.
- Order of Rotational Symmetry: 4

#### 2. Rectangle
- Shape: A rectangle has opposite sides equal and all angles equal to 90°.
- Rotational Symmetry:
- After a rotation of 180°, the rectangle looks the same.
- After a rotation of 360°, the rectangle looks the same.
- Total: The rectangle looks the same 2 times during a full rotation.
- Order of Rotational Symmetry: 2

#### 3. Parallelogram
- Shape: A parallelogram has opposite sides parallel and equal.
- Rotational Symmetry:
- After a rotation of 180°, the parallelogram looks the same.
- After a rotation of 360°, the parallelogram looks the same.
- Total: The parallelogram looks the same 2 times during a full rotation.
- Order of Rotational Symmetry: 2

#### 4. Rhombus
- Shape: A rhombus has all sides equal but angles may differ.
- Rotational Symmetry:
- After a rotation of 180°, the rhombus looks the same.
- After a rotation of 360°, the rhombus looks the same.
- Total: The rhombus looks the same 2 times during a full rotation.
- Order of Rotational Symmetry: 2

#### 5. Kite
- Shape: A kite has two pairs of adjacent sides equal.
- Rotational Symmetry:
- After a rotation of 360°, the kite looks the same.
- Total: The kite looks the same 1 time during a full rotation.
- Order of Rotational Symmetry: 1

#### 6. Trapezium
- Shape: A trapezium has one pair of parallel sides.
- Rotational Symmetry:
- After a rotation of 360°, the trapezium looks the same.
- Total: The trapezium looks the same 1 time during a full rotation.
- Order of Rotational Symmetry: 1

#### 7. Isosceles Trapezium
- Shape: An isosceles trapezium has one pair of parallel sides and the non-parallel sides are equal.
- Rotational Symmetry:
- After a rotation of 360°, the isosceles trapezium looks the same.
- Total: The isosceles trapezium looks the same 1 time during a full rotation.
- Order of Rotational Symmetry: 1

#### 8. Irregular Quadrilateral
- Shape: An irregular quadrilateral has no specific symmetry properties.
- Rotational Symmetry:
- After a rotation of 360°, the irregular quadrilateral looks the same.
- Total: The irregular quadrilateral looks the same 1 time during a full rotation.
- Order of Rotational Symmetry: 1

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Final Answer:

The table correctly lists the orders of rotational symmetry for each quadrilateral. The solution is consistent with the definitions and properties of each shape.

$$
\boxed{4, 2, 2, 2, 1, 1, 1, 1}
$$