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Ch 1: Foundations of Geometry: Tutoring Solution

About This Chapter

The Foundations of Geometry chapter of this High School Geometry Tutoring Solution is a flexible and affordable path to learning about geometry basics. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving the foundations of geometry required in a typical high school geometry course.

How it works:

  • Begin your assignment or other high school geometry work.
  • Identify the foundations of geometry concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our high school geometry tutoring solution will benefit any student who is trying to learn geometry basics and earn better grades. This resource can help students including those who:

  • Struggle with understanding postulates, theorems, axiomatic systems, Euclid, Thales, Pythagoras, or any other foundations of geometry topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their foundations of geometry unit
  • Cope with ADD or ADHD
  • Want to get ahead in high school geometry
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning about the foundations of geometry simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live algebra tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about the foundations of geometry on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning objectives

  • Define and explore geometry as a field of study.
  • Discuss the use of inductive and deductive reasoning in geometry.
  • List the contributions of Pythagoras and Thales to the field of geometry.
  • Identify the properties of the axiomatic system.
  • Learn about Euclid's Postulates and the early axiomatic system.
  • Define geometric terms such as point, plane and line.
  • Explain the purpose of postulates and theorems.
  • Study the postulates, properties and algebraic laws of geometry.

8 Lessons in Chapter 1: Foundations of Geometry: Tutoring Solution
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.

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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