Ch 18: HiSET Mathematics: Parallel Lines and Polygons

About This Chapter

Use our instructional videos and self-assessment quizzes to help you prepare for the High School Equivalency Test (HiSET). We can show you everything you need to know about parallel lines and polygons for this math exam.

HiSET Mathematics: Parallel Lines and Polygons - Chapter Summary

This chapter includes all of the concepts on parallel lines and polygons that are covered on the test. The short, clever video lessons explain the following topics you'll need to know:

  • Transversals and the angles that are formed
  • Ways to prove lines are parallel
  • Converse statements that prove lines are parallel
  • The parallel postulate and indirect proof
  • The parts of regular polygons
  • Finding the number of diagonals in a polygon
  • Calculating perimeter and area of polygons
  • Measuring the angles of a polygon and finding the sum

Take advantage of our multiple-choice lesson quizzes and chapter test to measure your understanding as well as gain experience answering the types of questions you'll have on the exam.

Objectives of the HiSET Mathematics: Parallel Lines and Polygons Chapter

Your ability to recognize elements of polygons and apply proofs and formulas is key to scoring well on this portion of the 90-minute-long HiSET math exam. The concepts in this chapter are part of the Measurement/Geometry section of the exam, which makes up 18% of the math test. There are 50 total questions on the math exam and all are multiple-choice.

9 Lessons in Chapter 18: HiSET Mathematics: Parallel Lines and Polygons
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.

The Parallel Postulate: Definition & Examples

4. 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.

Regular Polygons: Definition & Parts

5. 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

6. 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

7. 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

8. 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.

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

9. 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.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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