**Classify quadrilaterals :**

A closed geometric figure with four sides and four vertices is called a quadrilateral. The sum of all the four angles of a quadrilateral is 360°.

A quadrilateral can be classified as follows.

(i) Square

(ii) Rectangle

(iii) Parallelogram

(iv) Rhombus

**Square :**

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted ABCD.

- All four sides of a square are same length, they are equal
- Opposite side of a square are parallel
- All four angles of a square are right angles
- Sum of the angles of a square are equal to 360 degree.
- Diagonals of a square are same length
- Each diagonal of a square divides its into two equal symmetrical area.
- Diagonals of a square intersect its right angles, and share each other half.

Area of a square = a²

Perimeter of a square = 4 a

Here "a" stands for side length of the square.

**Rectangle :**

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal.

- An opposite sides of a rectangle are the same length, they are equal
- An opposite sides of a rectangle are parallel
- An adjacent sides of a rectangle are always perpendicular
- All four angles of a rectangles is right.
- The sum all of the angles of a rectangle is equal to 360 degrees.
- The diagonals of a rectangle are equal
- The sum of squares two diagonals is equal to the sum of squares of the sides.

Area of the rectangle = length x width

Perimeter of the rectangle = 2(length + width)

**Parallelogram :**

A quadrilateral in which the opposite sides are parallel is called a parallelogram.

- Opposite sides are parallel and equal.
- Opposite angles are equal and sum of any two adjacent angles is 180°.
- Diagonals bisect each other.
- The sum of the parallelogram angles is equal to 360 degrees.
- Each diagonals divides the parallelogram into two equal triangle.
- Two diagonals is divided parallelogram into two pairs of equal triangles.

Area of parallelogram = base x height (or)

Area of parallelogram = diagonal 1 x diagonals 2

Perimeter of parallelogram = Sum of length of all sides

**Rhombus :**

A rhombus is a simple quadrilateral whose four sides all have the same length.

- All sides are equal and opposite sides are parallel
- Opposite angles are equal and sum of any two adjacent angles is 180°.
- Diagonals bisect each other at right angles.
- The intersecting point of the diagonals is the center of the symmetry.
- At any rhombus can be inscribed a circle.

Area of rhombus = (1/2)(diagonal 1 x diagonals 2)

Perimeter of rhombus = Sum of length of all sides

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