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Ch 1: NY Regents - Foundations of Geometry: Help and Review

About This Chapter

The Foundations of Geometry chapter of this NY Regents Exam - Geometry Help and Review course is the simplest way to master geometry basics for the NY Regents Exam. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of geometry's foundations.

Who's it for?

Anyone who needs help learning or mastering geometry material for the NY Regents Exam will benefit from taking this course. There is no faster or easier way to learn geometry. Among those who would benefit are:

  • Students who have fallen behind in understanding the core concepts of geometry, the definition of postulates and theorems, or working with other foundations of geometry
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about foundations of geometry for the NY Regents Exam
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the foundations of geometry chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the foundations of geometry chapter exam to be prepared for the NY Regents Exam
  • Get Extra Support: Ask our subject-matter experts any foundations of geometry question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

This chapter helps students review the concepts in a foundations of geometry unit of a standard high school geometry course. Topics covered include:

  • Geometry defined
  • Inductive and deductive reasoning in geometry
  • The early contributions of Thales and Pythagoras to geometry
  • The axiomatic system
  • Euclid's axiomatic geometry
  • Undefined terms of geometry
  • Postulates and theorems
  • Geometric figures' properties and postulates
  • Algebraic laws

12 Lessons in Chapter 1: NY Regents - Foundations of Geometry: Help and Review
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.

What are Perpendicular Lines? - Definition & Meaning

9. What are Perpendicular Lines? - Definition & Meaning

Perpendicular lines are shaped like a 'T' and have special properties that non-perpendicular lines don't have. Because of these special properties, it is important to be able to distinguish perpendicular lines from those that aren't. In this lesson, we will explore ways to determine whether or not two lines are perpendicular.

What is a Line Plot in Math? - Definition & Examples

10. What is a Line Plot in Math? - Definition & Examples

In this lesson, we will explore the functions and examples of a line plot. Also in this lesson, we will learn to create a line plot, create questions, and interpret data from a line plot.

What is a Linear Function? - Definition & Examples

11. What is a Linear Function? - Definition & Examples

In this lesson, you will learn the key identifying mark of linear functions. You'll also learn how to graph them with just two points and how you can use the graph to easily find your answers.

What is a Trend Line in Math? - Definition, Equation & Analysis

12. What is a Trend Line in Math? - Definition, Equation & Analysis

Learn about trend lines: what they are, how to calculate them, and how to interpret them when they are used in a graph. You will see the concepts unfold in a series of examples that will prepare you for solving a variety of practice problems.

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