Ch 35: MTEL Mathematics (Elementary): Principles of Geometry

About This Chapter

Make sure you are ready for geometry principles on the MTEL Mathematics (Elementary) exam by getting help from us. Using our chapter helps you learn quickly and have fun while doing so.

MTEL Mathematics (Elementary): Principles of Geometry - Chapter Summary

Progressing through the lessons in this chapter helps you review important principles of geometry for the exam. The review process is fun thanks to the lessons' format, and you will expand on your knowledge of:

  • Thales and Pythagoras
  • The axiomatic system
  • Euclid's axiomatic geometry
  • Undefined terms of geometry
  • Geometric figures and their properties and postulates
  • Algebraic laws

Become comfortable with geometry-related principles by watching the video lessons. Not only do they help you review in an efficient manner, but they come with quizzes. As a result, you will be able to assess your knowledge and skills before taking the real exam. Online instructors are also available in case you have a question about a particular topic.

7 Lessons in Chapter 35: MTEL Mathematics (Elementary): Principles of Geometry
Test your knowledge with a 30-question chapter practice test
What is Geometry?

1. What is Geometry?

Geometry can be traced all the way back to 2000 BC. Watch this video lesson and learn how much geometry has grown over time, and how people from Egypt, Greece, and France have contributed to the geometry we now use today.

Thales & Pythagoras: Early Contributions to Geometry

2. Thales & Pythagoras: Early Contributions to Geometry

In this video lesson, you will learn about the contributions Thales and Pythagoras made to the study of geometry. Also learn which of their major contributions is still in use today.

The Axiomatic System: Definition & Properties

3. The Axiomatic System: Definition & Properties

Learn what kinds of things are included in an axiomatic system in this video lesson. Also learn why consistency, independence, and completeness are important in axiomatic systems.

Euclid's Axiomatic Geometry: Developments & Postulates

4. 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.

Undefined Terms of Geometry: Concepts & Significance

5. 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.

Properties and Postulates of Geometric Figures

6. 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.

Algebraic Laws and Geometric Postulates

7. 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.

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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