Polygons

A polygon is a two-dimensional closed shape with straight sides. The sides of a polygon are line segments, and they do not cross each other.

Types of Polygons

There are several types of polygons, some of the most common include:

1. Triangle: A polygon with three sides.
2. Quadrilateral: A polygon with four sides.
3. Pentagon: A polygon with five sides.
4. Hexagon: A polygon with six sides.
5. Heptagon: A polygon with seven sides.
6. Octagon: A polygon with eight sides.
7. Nonagon: A polygon with nine sides.
8. Decagon: A polygon with ten sides.

Properties of Polygons

There are several important properties of polygons, including:

• Number of Sides: Each type of polygon has a specific number of sides.
• Interior Angles: The sum of the interior angles of a polygon with n sides is given by the formula (n-2) * 180 degrees.
• Exterior Angles: The sum of the exterior angles of any polygon, regardless of the number of sides, is always 360 degrees.
• Regular and Irregular Polygons: A polygon is called regular if all its sides and angles are equal. Otherwise, it is irregular.

Formulas

Here are some important formulas related to polygons:

A = 0.5 * apothem * perimeter

P = (sum of all sides)

Interior Angle = 180 * (n-2) / n degrees

Study Guide

When studying polygons, make sure to focus on the following key points:

• Identifying and classifying different types of polygons.
• Understanding the properties of interior and exterior angles of polygons.
• Being able to calculate the perimeter and area of regular polygons.
• Distinguishing between regular and irregular polygons.

Practice drawing different types of polygons and calculating their properties to solidify your understanding of the topic.

Good luck with your studies! If you have any more questions or need further assistance, feel free to ask.