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# Simple and Complex Polygons

A **polygon** is a closed figure made up of line segments.

Simple Polygons

A simple polygon has only one boundary, and it doesn't cross over itself. The sides of a **simple polygon** do not intersect.

Complex Polygons

**Complex polygon** is a polygon whose sides cross over each other one or more times.

Let's go through some examples.

**Example 1**

**Is this polygon simple or complex?**

In the given polygon the lines do not intersect each other at any point.

**So, it is a simple polygon.**

**Example 2**

**Is this polygon simple or complex?**

In the given polygon five lines intersect each other.

**So, it is a complex polygon.**

Summary

- A
**polygon**is a closed figure made up of line segments. - A simple polygon has only one boundary, and it doesn't cross over itself. The sides of a
**simple polygon**do not intersect. **Complex polygon**is a polygon whose sides cross over each other one or more times.