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Ch 1: Foundations of Geometry: Homework Help

About This Chapter

The Foundations of Geometry chapter of this High School Geometry Homework Help course helps students complete their geometry foundations homework and earn better grades. This homework help resource uses simple and fun videos that are about five minutes long.

How it works:

  • Identify which concepts are covered on your geometry foundations homework.
  • Find videos on those topics within this chapter.
  • Watch fun videos, pausing and reviewing as needed.
  • Complete sample problems and get instant feedback.
  • Finish your geometry foundations homework with ease!

Topics from your homework you'll be able to complete:

  • Definition of geometry
  • Deductive and inductive reasoning
  • Geometry contributions of Pythagoras and Thales
  • The axiomatic system
  • Euclid's axiomatic system and postulates
  • Undefined terms in geometry
  • Purpose of postulates and theorems
  • Postulates and properties of geometric figures
  • Use of algebraic laws in geometry

9 Lessons in Chapter 1: Foundations of Geometry: Homework Help
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.

Inductive & Deductive Reasoning in Geometry: Definition & Uses

2. Inductive & Deductive Reasoning in Geometry: Definition & Uses

Watch this video lesson, and you will learn how important inductive and deductive reasoning is in the field of mathematics, especially when dealing with proofs in geometry. Learn how these two fundamental forms of reasoning give rise to formal theorems.

Thales & Pythagoras: Early Contributions to Geometry

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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.

Law of the Lever: Definition, Formula & Examples

9. Law of the Lever: Definition, Formula & Examples

One of the six simple machines is the lever. Levers allow a relatively smaller force to move a heavier object. In this lesson, we will investigate the law of the lever and work some examples involving levers.

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

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