# Quadrilateral- Definition, Types, Properties, Formulas, Notes

Different Geometry shapes and objects are named based on the number of sides. If an object has three sides, then it is classified as Triangle, An object with 4 sides classified as Quadrilateral, etc. Let us learn about the Quadrilateral definition, types, formula, properties, etc. in detail in this article. Every concept is explained separately on our website. Access every topic and easily get a grip on the Quadrilateral concept.

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A quadrilateral defined as a figure that has four sides or edges. Also, the quadrilateral consists of four vertices. rectangle, square, trapezoid, and kite, etc. are some of the examples of Quadrilateral.

There are various types of Quadrilaterals available. All the Quadrilaterals must have 4 sides. Also, the sum of the angles of the Quadrilateral is 360 degrees.

1. Trapezium
2. Kite
3. Parallelogram
4. Rectangle
5. Squares
6. Rhombus

Also, the quadrilaterals are classified differently. They are
Convex Quadrilaterals: It is defined as both diagonals of a quadrilateral are always present within a figure.

Check out the below formula of a Quadrilateral.

Area of a Parallelogram = Base x Height
Area of a Square = Side x Side
Area of a Rectangle = Length x Width
Area of a Kite = 1/2 x Diagonal 1 x Diagonal 2
Area of a Rhombus = (1/2) x Diagonal 1 x Diagonal 2

Know the different properties of a Quadrilateral PQRS.

• Four sides: PQ, QR, RS, and SP
• ∠P and ∠Q are adjacent angles
• Four vertices: Points P, Q, R, and S.
• PQ and QR are the adjacent sides
• Four angles: ∠PQR, ∠QRS, ∠RSP, and ∠SPQ.
• ∠P and ∠R are the opposite angles
• PQ and RS are the opposite sides

• Every quadrilateral consists of 4 sides, 4 angles, and 4 vertices.
• Also, the total of interior angles = 360 degrees

#### Properties of a Square

• The sides of a square are parallel to each other.
• Also, all the sides are equal in measure.
• The diagonals of a square perpendicular bisect each other.
• All the interior angles of a square are at 90 degrees.

#### Rectangle Properties

• The diagonals of a rectangle bisect each other.
• The opposite sides consist of equal length in a rectangle.
• All the interior angles of a rectangle are at 90 degrees.
• The opposite sides are parallel to each other

#### Properties of a Rhombus

• By adding two adjacent angles of a rhombus we get 180 degrees.
• The opposite sides are parallel to each other in a rhombus.
• The diagonals perpendicularly bisect each other
• All four sides of a rhombus are of equal measure.
• The opposite angles are of the same measure.

#### Parallelogram Properties

• The opposite angles of a parallelogram are of equal measure.
• The opposite side is of the same length in a parallelogram.
• The sum of two adjacent angles of a parallelogram is equal to 180 degrees.
• The opposite sides are parallel to each other in a Parallelogram.
• The diagonals of a parallelogram bisect each other.

#### Trapezium Properties

• The two adjacent sides are supplementary in a trapezium.
• Only one pair of the opposite side is parallel to each other in a trapezium.
• The diagonals of a trapezium bisect each other in the same ratio

#### Kite Properties

• The large diagonal bisects the small diagonal of a kite.
• The pair of adjacent sides have the same length in a kite.
• Only one pair of opposite angles are of the same measure.