Polygon

What is a Polygon?

A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments.


Now, observe the following simple closed curves:

Polygons and Non Polygons

Curves 1, 3 and 4 are made of line segments only, while curves 2 and 5 are made of line segments and curves.

Curves 1, 3 and 4 are called polygons.

A simple closed curve made of line segments only is called a polygon.

All the following figures are polygons.

Polygons Figures

The line-segments of a polygon are named by the sides in it. Poly means many and gon means sides. Thus a polygon has many sides.


Definition of Polygons: Simple closed figures having three or more line segments are called polygons.

Polygons are further divided into various categories, depending upon the line segments they have.


The different polygons having definite number of sides are given names according to the number of sides.


(i) A polygon with three sides is called a triangle.

or,

A polygon having three line segments is called a triangle.

The three line segments forming the triangle are its sides.

What is a Polygon?

Triangle


(ii) A polygon with four sides is called a quadrilateral.

or,

A polygon having four line segments is called a quadrilateral.

What is polygon?

Quadrilateral



(iii) A square is a quadrilateral whose all the four sides are equal.

Square - Polygon


(iv) A rectangle is a quadrilateral whose opposite sides are equal.

Rectangle - Polygon


(v) A polygon with five sides is called a pentagon.

Pentagon

Pentagon



(vi) A polygon with six sides is called a hexagon.

Hexagon

Hexagon


Thus a polygon is given its name on the basis of the number of its sides.


Sides, Vertices and Diagonals of a Polygon:

Sides, Vertices and Diagonals of a Polygon

Sides: The line segments forming a polygon are called its sides.

In the above figure, the sides of the polygon ABCDE are AB, BC, CD, DE, ΕΑ.

Vertices: The meeting point of a pair of sides is called a vertex.

In the above figure, sides AE and ED meet at E. So E is a vertex of the polygon ABCDE. A, B, C and D are its other vertices.


Adjacent Sides: Any two sides with a common end point are called the adjacent sides of the polygon.

In the above polygon ABCDE, (AB, BC), (BC, CD), (CD, DE), (DE, EA) and (EA, AB) are the adjacent sides.


Adjacent Vertices: The end points of the same side of a polygon are called adjacent vertices.

In the above polygon ABCDE, vertices E and D are adjacent, whereas A and D are not adjacent vertices. Other adjacent vertices in the figure are (A, B), (B, C), (C, D) and (E, A).


Diagonals: The joins of the pairs of vertices which are not adjacent, are called diagonals of the polygon.

In the above polygon ABCDE, AC, AD, BD, BE and CE are diagonals.


Worksheet on Polygons:

1. Tick the polygons which are quadrilaterals:

Rectangle - Polygon Question


2. Fill in the blanks:

(i) All the sides of a __________ are equal.

(ii) A polygon made of four line segments is called a __________ .

(iii) A polygon made of three line segments is called a __________ .

(iv) A simple closed curve made of line segments only is called a __________ .

(v) A closed curve which does not cross itself is called a __________ curve.

You might like these

Related Concepts on Geometry - Simple Shapes & Circle

Simple Closed Curves

Polygon

Different Types of Polygons

Angle

Triangle

Quadrilateral

Circle Math

Line Symmetry

Symmetrical Shapes





4th Grade Math Activities

From Polygon to HOME PAGE




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.



New! Comments

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




Share this page: What’s this?

Recent Articles

  1. Before and After Video | Math Worksheets on Number | Before and After

    Apr 03, 25 12:44 AM

    before and after number worksheet
    Free math worksheets on numbers before and after help the kids to check how much they are good at numbers. The purpose of this math activity is to help your child to say a number in order and also hel

    Read More

  2. Order of Numbers Video | Before and After Numbers up to 10 | Counting

    Apr 03, 25 12:39 AM

    We will learn the order of numbers in a number line. In numbers and counting up to 10 we will learn to find the before and after numbers up to 10.

    Read More

  3. Counting Before, After and Between Numbers up to 10 Video | Counting

    Apr 03, 25 12:36 AM

    Before After Between
    Counting before, after and between numbers up to 10 improves the child’s counting skills.

    Read More

  4. Numbers and Counting up to 10 | Why do we Need to Learn Numbers?|Video

    Apr 03, 25 12:33 AM

    Learning Numbers
    We will learn numbers and counting up to 10 to recognize the numerals 1 through 10. Counting numbers are very important to know so that we can understand that numbers have an order and also be able to

    Read More

  5. Numbers up to 10 Video | Kindergarten Math Lesson Plan | Math Lesson

    Apr 03, 25 12:30 AM

    Free Kindergarten Math
    Numbers up to 10, let’s count the set of pictures and then circle the correct number mentioned. We will learn evaluating the number value. Compare the object by counting. The child identifies numbers

    Read More