Ch 17: Geometry Concepts: NBPTS Math - Adolescence & Young Adult

About This Chapter

Review geometry concepts with help from the expert instructors in this chapter. Watch entertaining video lessons that explore algebraic laws, postulates and more as you study for the NBPTS Math/Adolescence and Young Adult assessment.

Geometry Concepts: NBPTS Math - Adolescence & Young Adult - Chapter Summary

This comprehensive overview of geometry concepts can prepare you for questions you will see on the the NBPTS Math/Adolescence and Young Adult assessment. Review the lessons in this chapter to ensure you're able to do the following on the exam:

  • Describe the concepts and significance of undefined terms of geometry
  • Share the developments and postulates of Euclid's axiomatic geometry
  • Discuss algebraic laws, geometric postulates and the properties and postulates of geometric figures
  • Explain how to sketch and interpret geometric diagrams, and discuss line segment bisection and midpoint theorem
  • Define ruler postulate, segment addition postulate and angle addition postulate

Enjoy the conveniences the resources in this chapter offer as you study for the exam. Review the lessons as videos or full transcripts in any sequence you desire and as often as needed. Access them from the comfort of home or on the go via your smartphone or tablet. At any time, take self-assessment quizzes to gauge your comprehension of the lessons. If you have questions about lesson topics, feel free to submit them to our experts.

9 Lessons in Chapter 17: Geometry Concepts: NBPTS Math - Adolescence & Young Adult
Test your knowledge with a 30-question chapter practice test
Undefined Terms of Geometry: Concepts & Significance

1. Undefined Terms of Geometry: Concepts & Significance

What do points, lines, planes, and sets have in common? Watch this video lesson to find out what they are, what they look like, and why they are called undefined terms.

Euclid's Axiomatic Geometry: Developments & Postulates

2. Euclid's Axiomatic Geometry: Developments & Postulates

Learn how the way we do proofs in geometry had its start with Euclid in this video lesson. Learn about his contributions to the geometry we know today. Also learn about the five basic truths that he used as a basis for all other teachings.

Algebraic Laws and Geometric Postulates

3. Algebraic Laws and Geometric Postulates

Watch this video to learn about the basic algebraic laws that are also part of the basic geometric postulates that form the basis for the geometry that we know and study today.

Properties and Postulates of Geometric Figures

4. Properties and Postulates of Geometric Figures

In geometry, there are some basic postulates that are relied upon as the basis for other theorems. Watch this video to learn about the postulates that deal with points, lines, and planes.

Line Segment Bisection & Midpoint Theorem: Geometric Construction

5. 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.

How to Use The Midpoint Formula

6. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

Ruler Postulate: Definition & Examples

7. Ruler Postulate: Definition & Examples

This lesson explains the definition of the ruler postulate. You'll see several examples that use the ruler postulate. Then, you can check your knowledge with a quiz.

Segment Addition Postulate: Definition & Examples

8. Segment Addition Postulate: Definition & Examples

In this lesson, we will review the definition of the segment addition postulate. We will also look at examples to clearly illustrate how this concept works in the real-world.

Angle Addition Postulate: Definition & Examples

9. Angle Addition Postulate: Definition & Examples

In this lesson, you will learn the definition of the Angle Addition Postulate. We will look at some examples so that you understand how this postulate works.

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

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