Types of Quadrilaterals

Types of quadrilaterals are discussed here:

1. Parallelogram:

A quadrilateral whose opposite sides are parallel and equal is called a parallelogram. Its opposite angles are equal.

Here LMNO is a parallelogram.

(i) LM is parallel to ON.

LO is parallel to MN.

(ii) LO = MN


(iii) ∠L = ∠N

∠M = ∠O

2. Rectangle:

A rectangle is a parallelogram in which all the angles are right angles.

Here ABCD is a rectangle.

(i) So, AB is parallel to DC.

AD is parallel to BC.

(ii) AD = BC


(iii) ∠A = ∠B = ∠C = ∠D = 90°

3. Square:

A square is a rectangle in which all sides are equal.

Here ABCD is a square.

(i) AB is parallel to DC.

BC is parallel to AD.

(ii) AB = BC = CD = DA.

(iii) ∠A = ∠B = ∠C = ∠D = 90°

4. Rhombus:

A rhombus is a parallelogram whose all sides are equal, opposite sides are parallel and opposite angles are equal.

Here LMNO is a rhombus.

(i) LM = MN = NO = OL

(ii) ∠L = ∠N

∠O = ∠M

(iii) LM is parallel to ON

OL is parallel to MN

5. Trapezium:

A quadrilateral is called trapezium if a pair of its opposite sides are parallel.

Here ABCD is a trapezium.

AB is parallel to DC

If a trapezium has non parallel sides equal, it is called isosceles trapezium.

Let’s discuss about the properties of types of quadrilateral in the table below;

Comparing the sides and angles of the different quadrilateral are discussed above.

Related Links :


  • Elements of a Quadrilateral.
  • Types of Quadrilaterals.
  • Parallel Lines.
  • Perpendicular Lines.
  • Construction of Perpendicular Lines by using a Protractor.
  • Sum of Angles of a Quadrilateral.
  • Worksheet on Quadrilateral.
  • Practice Test on Quadrilaterals.

  • 5th Grade Geometry Page

    5th Grade Math Problems

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