Master

Polygons

Master polygons with interactive lessons and practice problems! Designed for students like you!

Learn

Get the basics

Practice

Apply your skills

Master

Achieve excellence

Polygons

Study Guide

Key Definition

A polygon is a plane shape with straight sides that are fully closed. Each polygon has a specific number of sides that determines its name, such as a triangle with $3$ sides or a pentagon with $5$ sides.

Important Notes

Polygons are closed shapes with straight sides.
The number of sides determines the name of the polygon.
All polygons are closed shapes, but not all closed shapes are polygons.
Examples of polygons include triangles, quadrilaterals, and hexagons.
A polygon's interior angles always sum up to $(n-2) \times 180^\circ$, where $n$ is the number of sides.

Mathematical Notation

$\angle$ represents an angle

Remember to use proper notation when solving problems

Why It Works

Understanding polygons is essential as they form the basis of more complex geometrical concepts. By knowing the properties of polygons, you can calculate areas, interior angles, and more using basic formulas.

Remember

A polygon's name is determined by the number of its sides. For example, a hexagon has $6$ sides.

Quick Reference

Triangle:$3$ sides

Quadrilateral:$4$ sides

Pentagon:$5$ sides

Hexagon:$6$ sides

Interior Angle Sum:$(n-2) \times 180^\circ$

Understanding Polygons

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

Polygons are shapes with straight sides that are fully closed. For example, a triangle has $3$ sides.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

How many sides does a hexagon have?

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

You need to design a garden with a shape of a pentagon. How many sides will it have?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

What is the sum of the interior angles of a decagon?

Challenge Quiz

Single Choice Quiz

Advanced

Which of the following is NOT a polygon?

Recap

Watch & Learn

Review key concepts and takeaways