### Theory:

The quadrilaterals have both unique characteristics and similarities.

Let us analyse the properties of each of the quadrilaterals in detail.
Square
Square is one of the most basic shapes. A square is a quadrilateral with four equal sides and four equal angles.
The properties of a square:

1. The opposite sides are parallel.

2. All sides of the square are equal.

3. The opposite angles are equal.

4. Both the diagonals are equal.

Parallelogram
A parallelogram is a quadrilateral whose opposite sides are parallel and equal.
Properties of a parallelogram:

1. The opposite sides are equal.

2. The opposite angles are equal.

Rectangle
A rectangle is a quadrilateral in which the opposite sides are equal and parallel. And all the angles of a rectangle are right angles ($$90$$ degrees)
The properties of a rectangle:

1. The opposite sides are equal in length.

2. The opposite sides are parallel.

3. The opposite angles are equal in length.

4. The diagonals are equal in length.

Rhombus
A rhombus is a quadrilateral (plane figure, closed shape, four sides) with four equal-length sides and opposite parallel sides.
The properties of a rhombus:

1. All sides of the rhombus are equal.

2. The opposite sides of a rhombus are parallel.

3. The opposite angles of a rhombus are equal.

Trapezium
A trapezium is a quadrilateral with a pair of parallel sides.
The properties of a trapezium:

1. A Trapezium has two parallel sides and two non-parallel sides.

2. A Trapezium has four unequal sides.

Let us summarize the properties of the quadrilaterals using a tabular column.