What is a Polygon?

A polygon is a closed figure made up of straight line segments. The segments meet only at their endpoints and do not cross each other. The line segments are called the sides of the polygon. The endpoints are called the vertices of the polygon. Polygons can have different numbers of sides and angles.

Types of Polygons

There are various types of polygons based on the number of sides they have:

• Triangle: A polygon with three sides and three angles.
• Quadrilateral: A polygon with four sides and four angles.
• Pentagon: A polygon with five sides and five angles.
• Hexagon: A polygon with six sides and six angles.
• Heptagon: A polygon with seven sides and seven angles.
• Octagon: A polygon with eight sides and eight angles.
• Nonagon: A polygon with nine sides and nine angles.
• Decagon: A polygon with ten sides and ten angles.

Properties of Polygons

Some important properties of polygons include:

• The sum of the interior angles of a polygon with n sides is given by the formula: (n-2) * 180 degrees.
• The sum of the exterior angles of any polygon is always 360 degrees.
• Regular polygons have all sides and angles equal in measure.

Study Guide

Here are some key points to remember when studying polygons:

1. Learn to identify different types of polygons based on the number of sides and angles.
2. Understand the properties of interior and exterior angles of polygons.
3. Practice calculating the measures of interior and exterior angles for different polygons.
4. Study the characteristics of regular and irregular polygons.
5. Work on exercises involving the classification and properties of polygons.

Remember to practice drawing different polygons and label their sides and vertices to reinforce your understanding of the topic.

[Polygon] Related Worksheets and Study Guides:

• Polygon CharacteristicsMathematics • Fifth Grade