# Ch 3: Glencoe Geometry Chapter 3: Parallel and Perpendicular Lines

### About This Chapter

## How it works:

- Identify the lessons in Glencoe Geometry's Parallel and Perpendicular Lines chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the parallel and perpendicular line topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, re-watch the videos until you've mastered the material or submit a question for one of our instructors.

## Students will learn:

- Angles formed by a transversal
- Skew lines
- Uses of converse statements
- The perpendicular transverse theorem
- Slopes of lines
- Linear equations
- Proofs for parallel lines
- Constructions of parallel lines
- Perpendiculars and distance

*Glencoe Geometry is a registered trademark of McGraw-Hill, which is not affiliated with Study.com.*

### 1. Angles Formed by a Transversal

When you have a pair of parallel lines and a transversal, something very interesting happens to the angles that are formed. You can see this happen in real life at street intersections and such. Watch this video lesson to learn about all of this.

### 2. Skew Lines in Geometry: Definition & Examples

In this lesson, learn the definition of skew lines. You will also learn tips for differentiating skew lines from parallel lines, as well as look at some examples.

### 3. Using Converse Statements to Prove Lines Are Parallel

Because a pair of parallel lines produces unique angle characteristics, we can use this information to our advantage. Watch this video lesson to see how we turn this advantage into converse statements to help us prove parallel lines.

### 4. The Perpendicular Transversal Theorem & Its Converse

In this video lesson, you will see how you can use the perpendicular transversal theorem to help you find two congruent angles. You will also see how the converse of the theorem will help you to locate two parallel lines.

### 5. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

### 6. Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More

Being able to calculate the slope of a line is a very useful skill to have. Why? Watch this video lesson to find out and learn how to find the slope when working with various equations and various lines.

### 7. How to Write a Linear Equation

Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.

### 8. Parallel Lines: How to Prove Lines Are Parallel

Watch this video lesson to learn how you can prove that two lines are parallel just by matching up pairs of angles. Learn which angles to pair up and what to look for.

### 9. Constructing a Parallel Line Using a Point Not on the Given Line

Watch this video lesson, and you will learn how to draw parallel lines with just a compass and a straightedge. Also, learn why you would want to be able to do this in real life.

### 10. Finding Parallel Lines

If you're given a line, can you provide the equation of a second line parallel to the original? In this lesson, you'll learn to do just that, whether you just need a parallel line or whether you need one that goes through a particular point.

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### Other Chapters

Other chapters within the Glencoe Geometry: Online Textbook Help course

- Glencoe Geometry Chapter 1: Points, Lines, Planes, and Angles
- Glencoe Geometry Chapter 2: Reasoning and Proof
- Glencoe Geometry Chapter 4: Congruent Triangles
- Glencoe Geometry Chapter 5: Relationships in Triangles
- Glencoe Geometry Chapter 6: Proportions and Similarity
- Glencoe Geometry Chapter 7: Right Triangles and Trigonometry
- Glencoe Geometry Chapter 8: Quadrilaterals
- Glencoe Geometry Chapter 9: Transformations
- Glencoe Geometry Chapter 10: Circles
- Glencoe Geometry Chapter 11: Area and Volume
- Glencoe Geometry Chapter 12: Surface Area
- Glencoe Geometry Chapter 13: Volume