Quadrilaterals Definition | Classifying Quadrilaterals

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We are start today online tutoring about Quadrilaterals. Today “Tutor Dose” is quadrilaterals. In previous Dose (lesson) we had read about Triangle. We read today in Tutor Dose about quadrilaterals definition, Type of quadrilaterals and Formula of quadrilaterals. Here we classifying quadrilaterals in different shape. This is also very important chapter for point of view of examination. So read this lesson carefully.

Definition of Quadrilaterals in Easy Words

“A closed figure surrounded by four sides, is called a quadrilateral.”
Quadrilaterals is a plan two dimensional geometric shape. It has only Length and Breadth.
quadrilateral

Quadrilaterals characteristics

  • Every quadrilateral has four sides.
  • In a quadrilateral have four angles.
  • The sum of all four interior angles of a quadrilateral is 360 degree.
  • The sum of all four exterior angles of a quadrilateral is also 360 degree.
  • A quadrilateral has four vertex.
  • A quadrilateral has two diagonals.

Classifying Quadrilaterals

Here we are given the types of quadrilaterals.
1. Trapezium
2. Parallelogram
3. Rhombus
4. Rectangle
5. Square
6. Kite

1. Trapezium
A quadrilateral in which a pair of sides is parallel, called Trapezium.
TrapeziumIn the above figure we can see that side AB ।। CD.

2. Parallelogram
A quadrilateral whose opposite sides are parallel and equal is, called a parallelogram.
Parallelogram scaledA parallelogram is a quadrilateral. The figure given above is a parallelogram.
Parallelogram has some special properties

  • Opposite side are equal and parallel.
    AB = CD and AD = BC
    AB ।। CD and AD ।। BC
  • Opposite angles of parallelogram are equal.
    ∠A = ∠C and ∠B = ∠D
  • A parallelogram have two diagonal, which are intersect each other in equal parts.
    OP = OR and OS = OQ

3. Rhombus
A quadrilateral whose all sides are equal and opposite sides are parallel, called Rhombus.
Rhombus scaledRhombus has some special properties

  • Each side are equal and opposite side are parallel.
    AB = CD and AD = BC
    AB ।। CD and AD ।। BC
  • Opposite angle are equal
    ∠A = ∠C and ∠C = ∠D
  • Both diagonal bisect each other vertically.
    OP = ON = OQ = OM

4. Rectangle
You can read full article about rectangle to click here.

5. Square
You can read full article about square to click here.

6. Kite
Kite is a special type of a quadrilateral. The sides with the same marking in below figure are equal.
KiteIn the above figure we can see that AB = AD and BC = CD
A kite has 4 sides, so it is a quadrilateral.
There are exactly two distinct consecutive pairs of sides of equal length.


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