# Introduction

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We have already studied about **plane figures**. Further more, **when we join a bunch of points/dots on a piece of paper without lifting the pencil (and without retracing any portion of the drawing other than single points)**, we get a **plane curve**.

In this section, we will classify and read about the general properties of a polygon before further going into the study of

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## Convex and concave polygons

We are also aware that a simple closed curve **made up of only line segments** is called a

We know that **polygons have a classification based on the number of sides it if made up of**. However, there is another that helps in differentiating them.

We know that polygons consist of a number of **Based on the position of the diagonals we get two types of polygons:**

**Convex Polygons:**

Polygons which have all theirs diagonals, contained within the interiors of their boundaries are known as **convex polygons**. In other words, **any line segment joining any two vertices must lie wholly in the interior of the polygon**.

**Concave Polygons:**

When the contrary is true i.e. **when atleast one diagonal lies in the exterior region of the polygon**, the polygon is classified as a **concave polygon**.

Let's revise this concept by correctly classifying the below given figures.

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**In this section, we will be dealing with convex polygons only.**

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## Regular and irregular polygons

We know that a **‘equiangular’****‘equilateral’****For example:** a square has sides of equal length and angles of equal measure. Hence, it is a

A rectangle is equiangular but not equilateral. Thus, it is

**Note:** Sides with hash marks (

Have you come across any quadrilateral that is equilateral but not equiangular?

Is an equilateral triangle a regular polygon?