About This Chapter
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
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.
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.
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.
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.
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.
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.
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.
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.
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.
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 within the High School Geometry: Homework Help Resource course
- Logic in Mathematics: Homework Help
- Introduction to Geometric Figures: Homework Help
- Properties of Triangles: Homework Help
- Triangles, Theorems and Proofs: Homework Help
- Parallel Lines and Polygons: Homework Help
- Similar Polygons: Homework Help
- Quadrilaterals: Homework Help
- Circular Arcs and Circles: Homework Help
- Conic Sections: Homework Help
- Geometric Solids: Homework Help
- Analytical Geometry: Homework Help
- Introduction to Trigonometry: Homework Help