Quadrilateral- Definition, Types, Properties, Formulas, Notes

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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.

List of Quadrilateral Concepts

Find different concepts of Quadrilateral by checking out the below links. All you need is simply tap on them to have an idea of the related concept.

Quadrilateral Definition

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.

Types of Quadrilaterals

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.
Concave Quadrilaterals: Concave Quadrilaterals one diagonals present outside of the figure.
Intersecting Quadrilaterals: The pair of non-adjacent sides intersect in Intersecting Quadrilaterals. These are also called self-intersecting or crossed quadrilaterals.

Quadrilateral Formula

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

Quadrilateral Properties

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

Important Properties of Quadrilateral

  • 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.

Notes on Quadrilateral

  • A quadrilateral is a parallelogram is 2 pairs of sides are parallel to each other.
  • Also, a quadrilateral is a trapezoid or a trapezium if two of its sides are parallel to each other.
  • A quadrilateral is a rhombus if all the sides are of equal length and the two pairs of sides are parallel to each other.
  • The quadrilateral becomes kite when 2 pairs of adjacent sides are equal to each other.
  • Quadrilateral becomes Square and Rectangle when all internal angles are right angles, all angles are right angles, and also the opposite sides of a rectangle are same.
  • Furthermore, the Quadrilateral becomes Square and Rectangle when Opposite sides of a rectangle and square are parallel. The sides of a square are of the same length.

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