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Simple and Complex Polygons

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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.

Simplec 1

Complex Polygons

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

Simplec 2

Let's go through some examples.

Example 1

 

Is this polygon simple or complex?

Simplec 3

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?

Simplec 4

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.
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