About This Chapter
How it works:
- Identify the lessons in the Prentice Hall Geometry 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 lines topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Parallel, perpendicular and transverse lines
- How lines and angles relate
- Angles formed by a transversal
- Postulates and theorems about lines and angles
- Proving theorems about lines and angles
- Proving lines are parallel
- Theorems about transversals
- Using converse statements to prove lines are parallel
- Constructing a parallel line using a point not on the given line
- The parallel postulate and indirect proof
- How parallel and perpendicular lines relate
- Definition and properties of triangles
- Classifying triangles by angles and sides
- Interior and exterior angles of triangles
- Measuring the angles of triangles: 180 degrees
- Describing polygons
- The polygon angle-sum theorem
- The parts of a graph
- Calculating the slope of a line
- Using coordinates to prove geometric theorems
- Proving the slope criteria
- Solve geometric problems using the slope criteria
- Constructing parallel lines using a straightedge and compass
- Constructing a special quadrilateral
- Constructing perpendicular lines
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1. Parallel, Perpendicular and Transverse Lines
What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.
2. 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.
3. 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.
4. 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.
5. 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.
6. The Parallel Postulate: Definition & Examples
In this lesson, you will learn about an important postulate in Euclidean geometry, called the Parallel Postulate. It sounds kind of hard, but this lesson explains it in simple terms and provides several examples of it as well.
7. Triangles: Definition and Properties
What makes a shape a triangle? In this lesson, we'll explore the definition of a triangle, then analyze the parts of triangles, including the vertices, base and height.
8. Classifying Triangles by Angles and Sides
Not all triangles are the same. There are equilateral, isosceles and scalene triangles. Then there are right, acute and obtuse triangles. In this lesson, we'll learn how to classify triangles using their sides and angles.
9. Interior and Exterior Angles of Triangles: Definition & Examples
Knowing just a few things about the interior or exterior angles of triangles is sometimes all you need to put all the pieces together. Find out more in this lesson.
10. Measuring the Angles of Triangles: 180 Degrees
Watch this video lesson to see why a triangle's angles always add up to 180 degrees. Also, learn how you can use this unique fact about triangles to find an unknown angle in a triangle.
11. What Are the Different Parts of a Graph?
Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.
12. 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.
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Other chapters within the Prentice Hall Geometry: Online Textbook Help course
- Prentice Hall Geometry Chapter 1: Tools of Geometry
- Prentice Hall Geometry Chapter 2: Reasoning and Proof
- Prentice Hall Geometry Chapter 4: Congruent Triangles
- Prentice Hall Geometry Chapter 5: Relationships Within Triangles
- Prentice Hall Geometry Chapter 6: Quadrilaterals
- Prentice Hall Geometry Chapter 7: Similarity
- Prentice Hall Geometry Chapter 8: Right Triangles and Trigonometry
- Prentice Hall Geometry Chapter 9: Transformations
- Prentice Hall Geometry Chapter 10: Area
- Prentice Hall Geometry Chapter 11: Surface Area and Volume
- Prentice Hall Geometry Chapter 12: Circles