# Polygon Definition

In Geometry, **Polygon** is a **close shape** that is made by joining different **line segments**. It is a **two-dimensional** figure that has **three or more** straight sides. The **sides** of a polygon are called **Edges** while the **joining points** are called **Vertices**.

**Note:**

Read about Line Segment, **Edges**, and **Vertices** here.

**Table of Contents**

## Common Examples of Polygons in Geometry

In this field of Mathematics, we see multiple **closed figures** but **not all** of those are **polygons**. Here are a few examples of a Polygon that students have to deal with commonly.

- Triangle
- Rectangle
- Square
- Hexagon
- Quadrilateral

### How to check if a figure is Polygon?

To **check** if a figure is **Polygon** or not, you should classify the figure based on the following points.

- The number of
**sides**and**angles**should be**equal**to each other. **No curved**side should be involved in the figure

If a figure is fulfilling these requirements, it will be a **Polygon**. Otherwise, it is just a close shape not considered to be a part of a collection of Polygons.

### Properties of a Polygon

- It is a
**closed**shape. - It lies in a
**two-dimensional**plane. - It doesn’t include any
**curved**side or length. - A polygon has at least
**three sides**.

### Types of Polygon

Depending on the **measurement** of **lengths** and **angles** involved, Polygon is classified into **two** major types. Here is a brief discussion about those types.

**Note:**

Read about a Regular Polygon and Square here.

**Regular Polygon**: In this type, the**length**of**sides**and**measures**of**angles**must be the**same**. It means all**sides**have**equal**lengths and all**angles**have**equal**measures. For example, a “**Square**” is a**Regular Polygon**

**Note:**

Read about an **Irregular Polygon** and **Scalene Triangle** here.

**Irregular Polygon**: In this type,**lengths**of all**sides**and**measures**of all**angles**are**different**. It is a**closed figure**with different**lengths**of sides. For example, a “**Scalene Triangle**” is an**Irregular Polygon**because it has lengths and angles of different measures.

### Operations on a Polygon

Like other figures involved in **Geometry**, different operations can be applied to a **Polygon**. The most common operations are **Area Measurement** and **Perimeter Measurement**. Let us explain them here briefly for understanding.

**Area Measurement**

The area is the **total region** covered by **any figure** (a Polygon in this case). The formula to measure the **Area of a Polygon** depends on the **type of a Polygon** and its **configuration**. For example, **the Area of a Triangle** is different from the **Area of a Rectangle** even though both are Polygons.

**Note:**

Read about Area here in detail.

**Perimeter Measurement**

Perimeter is the **sum** of the **distance** covered by different **sides** of a **Polygon**. To find Perimeter, we have to evaluate the type of the given Polygon.

### FAQ's

**What is a Polygon?**

It is a two-dimensional closed shape made by joining straight lines.

**Can a Polygon has 6 sides?**

Yes, a Polygon has 6 sides. To be a Polygon, a figure has at least three sides.

**What are the two main types of polygons?**

The two major types of Polygons are defined on the basis of length and angle measurements. Here are the names of those types.

- Regular Polygon
- Irregular Polygon

**Is the circle a Polygon?**

No, a circle is not a Polygon because it is made by joining dots and doesn’t have straight lines.

**Can a polygon have a different number of angles and sides?**

No, a polygon must have an equal number of sides and angles.

**How to check if a polygon is regular or not?**

If a polygon has all sides and angles of equal measure, it will be a Regular Polygon. Otherwise, it will be an Irregular Polygon.

**How to identify a Polygon?**

A figure is a Polygon only if it fulfills the following requirements,

- It must be a closed shape.
- It must have an equal number of sides and angles.
- It must be a two-dimensional shape.

**Are all triangles ate Polygons?**

Yes, all triangles are Polygons.