# Chapter 3: Parallel and Perpendicular Lines

Difficulty Level:

**At Grade**Created by: CK-12

In this chapter, you will explore the different relationships formed by parallel and perpendicular lines and planes. Different angle relationships will also be explored and what happens to these angles when lines are parallel. You will continue to use proofs, to prove that lines are parallel or perpendicular. There will also be a review of equations of lines and slopes and how we show algebraically that lines are parallel and perpendicular.

## Chapter Outline

- 3.1. Lines and Angles
- 3.2. Properties of Parallel Lines
- 3.3. Proving Lines Parallel
- 3.4. Properties of Perpendicular Lines
- 3.5. Parallel and Perpendicular Lines in the Coordinate Plane
- 3.6. The Distance Formula
- 3.7. Chapter 3 Review

### Chapter Summary

### Image Attributions

## Description

This chapter covers parallel and perpendicular lines and planes. Also considered are angle relationships and the equations of lines and slopes.

## Tags:

Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
angles
(14 more)
CK.MAT.ENG.SE.2.Geometry.3
coordinate plane
Corresponding Angles Postulate
equations of lines
Parallel Line Postulate
Parallel Lines
Perpendicular Line Postulate
perpendicular lines
planes
proofs
Same Side Interior Angles Theorem
slopes
the Distance Formula
transversals

## Subjects:

## Search Keywords:

angles
Parallel Lines
equations of lines
(14 more)
perpendicular lines
slopes
planes
Alternate Interior Angles Theorem
Alternate Exterior Angles Theorem
Corresponding Angles Postulate
Perpendicular Line Postulate
Parallel Line Postulate
transversals
proofs
the Distance Formula
Same Side Interior Angles Theorem
CK.MAT.ENG.SE.2.Geometry.3

## Date Created:

Feb 23, 2012## Last Modified:

Apr 29, 2014
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