Copyright

Ch 37: MTEL Mathematics (Elementary): Principles of Geometric Figures

About This Chapter

Review the principles of geometric figures in this chapter of the MTEL Elementary Mathematics exam study guide. Use our informative lessons and practice quizzes to make sure you're prepared on exam day.

MTEL Elementary Mathematics: Principles of Geometric Figures - Chapter Summary

The lessons in this Principles of Geometric Figures chapter provide a review of geometric figures, including geometric constructions, the different types of angles, and line segment bisection. In addition, you'll cover the following topics:

  • Using lines and angles to make geometric figures
  • The midpoint theorem
  • Dividing line segments into equal parts
  • Constructing perpendicular lines and angle bisectors
  • Rays in geometry

Knowledgeable instructors help you review the basics of geometry in preparation for your MTEL exam by presenting the material through short, engaging video lessons. If you need a question answered or extra support, instructors are available to help you out. Videos are accompanied by transcripts with important terms in bold, which help you identify main points from the lessons. Use the jump feature under the Timeline tab to skip directly to main subjects within the videos.

7 Lessons in Chapter 37: MTEL Mathematics (Elementary): Principles of Geometric Figures
Test your knowledge with a 30-question chapter practice test
Geometric Constructions Using Lines and Angles

1. Geometric Constructions Using Lines and Angles

Watch this video lesson to learn about geometric construction and how you can copy line segments and angles without using any numbers. All you need is a straight edge and a compass.

Types of Angles: Vertical, Corresponding, Alternate Interior & Others

2. Types of Angles: Vertical, Corresponding, Alternate Interior & Others

In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.

Line Segment Bisection & Midpoint Theorem: Geometric Construction

3. Line Segment Bisection & Midpoint Theorem: Geometric Construction

Watch this video lesson and you will learn how to bisect a line segment without measurements using just a compass and a straight edge. You'll also learn about the midpoint theorem, which lets you calculate the midpoint if you have the measurements.

Dividing Line Segments into Equal Parts: Geometric Construction

4. Dividing Line Segments into Equal Parts: Geometric Construction

Watch this video lesson to learn one way to easily divide any line segment into as many equal parts as you need. Also, learn where in real life this skill comes in handy.

Constructing Perpendicular Lines in Geometry

5. Constructing Perpendicular Lines in Geometry

In this video lesson, you will see how to use geometric construction to draw perpendicular lines. Learn why geometric construction is useful. Also find out the only two tools in addition to your pencil that you need to do this.

Constructing an Angle Bisector in Geometry

6. Constructing an Angle Bisector in Geometry

Watch this video lesson to learn a cool way to split an angle in half. You can use this method to split a pie slice in half where you can be sure each side is equal.

What is a Ray in Geometry? - Definition & Examples

7. What is a Ray in Geometry? - Definition & Examples

In this lesson, you'll learn what a ray is and see a few examples of rays. You'll also learn why we can't measure rays. Then, you can test your knowledge with a brief quiz.

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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the MTEL Mathematics (Elementary) (53): Practice & Study Guide course

Support