# 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

LM = ON

(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

AB = DC

(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.

Elements of a Quadrilateral.

Parallel Lines.

Perpendicular Lines.

Construction of Perpendicular Lines by using a Protractor.

Sum of Angles of a Quadrilateral.

Practice Test on Quadrilaterals.

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

## Recent Articles

1. ### Worksheet on Triangle | Homework on Triangle | Different types|Answers

Jun 21, 24 02:19 AM

In the worksheet on triangle we will solve 12 different types of questions. 1. Take three non - collinear points L, M, N. Join LM, MN and NL. What figure do you get? Name: (a)The side opposite to ∠L…

2. ### Worksheet on Circle |Homework on Circle |Questions on Circle |Problems

Jun 21, 24 01:59 AM

In worksheet on circle we will solve 10 different types of question in circle. 1. The following figure shows a circle with centre O and some line segments drawn in it. Classify the line segments as ra…

3. ### Circle Math | Parts of a Circle | Terms Related to the Circle | Symbol

Jun 21, 24 01:30 AM

In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We…

4. ### Circle | Interior and Exterior of a Circle | Radius|Problems on Circle

Jun 21, 24 01:00 AM

A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known