### Polygons & Its Classification : Maths NCERT / CBSE Notes

We know a

**polygon**is a simple closed figure made up of only line segments. We can classify**polygons**according to the number of sides or vertices.- The
**simple polygon**we know is a**triangle**. A**triangle**has three sides and, thus, is a**three-sided polygon**. - A
**four-sided polygon**is called a**quadrilateral**. - A
**five sided polygon**is called a**pentagon**. - In this manner, we can obtain a
**six-sided polygon**called a hexagon, a**seven-sided polygon**, called a**heptagon**, and so on. - If we have an
**n-sided polygon**, it is called an**n-gon**.

**Classification of Polygon**

**CONCAVE & CONVEX POLYGONS:**

- We know that each side of a
**polygon**is connected by two consecutive vertices of the**polygon**. - A
**diagonal**is a line segment that connects the non-consecutive vertices of a**polygon**. - If a
**diagonal**lies outside a**polygon**, then the**polygon**is called a**concave polygon**. - If all the
**diagonals**lie inside the**polygon**, then the**polygon**is said to be a**convex polygon**.

**REGULAR & IRREGULAR POLYGONS:**

- A
**regular polygon**is**equiangula**r and**equilateral**. The word**equiangular**means, the**interior angles**of the**polygon**are equal to one another. The word**equilatera**l means, the lengths of the sides are equal to one another. - The
**polygon**with unequal sides and unequal angles is called an**irregular polygon**.

**ANGLE SUM PROPERTY:**

The

**sum of all interior angles**of a polygon is called the**angle sum**.**,**

**.**

At one vertex, we extend a side. This side makes an angle with its consecutive side. This angle is called the

**exterior angle.**The**interior angle**and the**exterior angles**are**adjacent angles**. These angles form a linear pair. Hence the**sum of the exterior angles**of any**polygon**isWith our free PDF notes you can get success in any competitive
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