# Chapter 6: Polygons and Quadrilaterals

## Introduction

This chapter starts with the properties of polygons and narrows to focus on quadrilaterals. We will study several different types of quadrilaterals: parallelograms, rhombi, rectangles, squares, kites and trapezoids. Then, we will prove that different types of quadrilaterals are parallelograms.

## Chapter Outline

- 6.1. Interior Angles in Convex Polygons
- 6.2. Exterior Angles in Convex Polygons
- 6.3. Parallelograms
- 6.4. Quadrilaterals that are Parallelograms
- 6.5. Parallelogram Classification
- 6.6. Trapezoids
- 6.7. Kites
- 6.8. Quadrilateral Classification

### Chapter Summary

## Summary

This chapter introduces the Polygon Sum Formula and the Regular Polygon Interior Angle Formula. After this detailed presentation of the interior angles of polygons, the next topic is exterior angles of polygons and the Exterior Angle Sum Theorem. Quadrilaterals, parallelograms, rectangles, squares, trapezoids, kites, and rhombuses are introduced and these various types of four-sided figures are classified and their properties are explored.

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## Date Created:

Feb 24, 2012## Last Modified:

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