Ch 6: Parallel Lines & Polygons: Homeschool Curriculum

About This Chapter

The Parallel Lines and Polygons unit of this High School Geometry Homeschool course is designed to help homeschooled students learn about parallel postulates and regular polygons. Parents can use the short videos to introduce topics, break up lessons and keep students engaged.

Who's it for?

This unit of our High School Geometry Homeschool course will benefit any student who is trying to learn about parallel postulates and regular polygons. There is no faster or easier way to learn about parallel lines and polygons. Among those who would benefit are:

  • Students who require an efficient, self-paced course of study to learn how to prove lines are parallel or measure the area and perimeter of polygons.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need a math curriculum that appeals to multiple learning types (visual or auditory).
  • Gifted students and students with learning differences.

How it works:

  • Students watch a short, fun video lesson that covers a specific unit topic.
  • Students and parents can refer to the video transcripts to reinforce learning.
  • Short quizzes and the Parallel Lines and Polygons unit exam confirm understanding or identify any topics that require review.

Parallel Lines and Polygons Unit Objectives:

  • Discuss the angles formed by transversals and parallel lines.
  • Prove lines are parallel with converse statements and postulates.
  • Learn to measure the diagonals of polygons.
  • Define a regular polygon and illustrate its parts.
  • Study the apothem of regular polygons.
  • Find the sum of the angles in triangles.
  • Calculate the sum of measures for angles.

12 Lessons in Chapter 6: Parallel Lines & Polygons: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
Angles Formed by a Transversal

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.

Parallel Lines: How to Prove Lines Are Parallel

2. 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.

Using Converse Statements to Prove Lines Are Parallel

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.

Constructing a Parallel Line Using a Point Not on the Given Line

4. 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.

The Parallel Postulate: Definition & Examples

5. 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.

What Are Polygons? - Definition and Examples

6. What Are Polygons? - Definition and Examples

Watch this video lesson to see how the shapes that you grew up with are all related. Learn why the shapes of bricks, stars, and street blocks are considered polygons while the sun, moon, and rolling hills are not.

Regular Polygons: Definition & Parts

7. Regular Polygons: Definition & Parts

What makes a polygon a polygon? And what shapes are considered polygons? In this lesson, find out the answers to these questions and more as we learn all about polygons and their parts.

How to Find the Number of Diagonals in a Polygon

8. How to Find the Number of Diagonals in a Polygon

At first, you might think that the diagonals of a polygon are pretty useless, but watch this video lesson to learn how diagonals are used in real life. You will learn the formula to find how many diagonals a polygon has as well as how to use it.

Finding the Perimeter of Polygons

9. Finding the Perimeter of Polygons

In this video lesson, you will learn the process you need to take to find the perimeter of polygons. You will also learn that there is a shortcut if your polygon is a regular polygon.

Measuring the Area of Regular Polygons: Formula & Examples

10. Measuring the Area of Regular Polygons: Formula & Examples

Watch this video lesson to learn why a regular polygon makes your life easier when it comes to finding the area inside one. Learn the one formula for area that will work for any type of regular polygon.

Measuring the Angles of Triangles: 180 Degrees

11. 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.

How to Measure the Angles of a Polygon & Find the Sum

12. How to Measure the Angles of a Polygon & Find the Sum

Watch this video lesson to learn the one formula that lets you find the measure of angles in any regular polygon. Also, learn how you can tell if you are working with a regular polygon or not.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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