Ch 37: PLACE Mathematics: Parallel Lines & Polygons

About This Chapter

The lessons in this chapter provide a refresher about parallel lines and polygons to prepare you for the PLACE Mathematics exam. Short video lessons and self-assessment quizzes will help you review these math concepts before testing your understanding.

PLACE Mathematics: Parallel Lines and Polygons - Chapter Summary

To familiarize yourself with corresponding and supplementary angles, intersecting lines and how diagonals are used in real life, use the lessons in this chapter. The short, practical video lessons cover the following topics to help you prepare for the PLACE Mathematics exam:

  • Transversals and their angles
  • Proving lines are parallel including converse statements
  • Using the parallel postulate and indirect proof
  • Parts of regular polygons
  • Calculating perimeter and area of polygons
  • Methods to find the number of diagonals in a polygon
  • Measuring the angles of a polygon and finding the sum

Our professional instructors direct you through the lessons and equip you with the tools you need to apply formulas and proofs to geometric problems. You can also use the text lessons to review key terms or reinforce your studies.

Objectives of the PLACE Mathematics: Parallel Lines and Polygons Chapter

Your ability to calculate the measurements of angles and lines may be tested in the Measurement and Geometry section of the PLACE Mathematics exam, and this section makes up 19% of the whole test. We include multiple-choice quizzes at the end of each lesson that mirror the exam problems so you can gain confidence to answering these questions easily. The exam includes all multiple-choice questions.

9 Lessons in Chapter 37: PLACE Mathematics: Parallel Lines & 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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Other Chapters

Other chapters within the PLACE Mathematics: Practice & Study Guide course

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