Ch 2: Holt Geometry Chapter 2: Reasoning in Geometry

About This Chapter

The Reasoning in Geometry chapter of this Holt Geometry Textbook Companion Course helps students learn the essential geometry lessons on proofs and theorems. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Reasoning in Geometry textbook chapter.

How it works:

  • Identify the lessons in Holt Geometry's Reasoning in Geometry chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the geometric reasoning topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • Components of geometric proofs
  • Reasoning and logic in mathematics
  • The significance of undefined terms
  • Geometric postulates and conjectures
  • Properties of the axiomatic system

Holt Geometry is a registered trademark of Holt, Rinehart and Winston, which is not affiliated with Study.com.

8 Lessons in Chapter 2: Holt Geometry Chapter 2: Reasoning in Geometry
Test your knowledge with a 30-question chapter practice test
Geometric Proofs: Definition and Format

1. Geometric Proofs: Definition and Format

Do you have something to prove? Can you explain why? In this lesson, we'll learn all about geometric proofs, including the parts that comprise a proof.

Critical Thinking and Logic in Mathematics

2. Critical Thinking and Logic in Mathematics

Logic has its own unique language and way of defining what is true and false. Watch this video lesson to learn how you can critically think in the language of logic while working with math.

Inductive & Deductive Reasoning in Geometry: Definition & Uses

3. 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.

Undefined Terms of Geometry: Concepts & Significance

4. 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.

Types of Angles: Vertical, Corresponding, Alternate Interior & Others

5. Types of Angles: Vertical, Corresponding, Alternate Interior & Others

In addition to basic right, acute, or obtuse angles, there are many other types of angles or angle relationships. In this lesson, we will learn to identify these angle relationships and discuss their measurements.

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.

The Axiomatic System: Definition & Properties

7. 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.

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

Earning College Credit

Did you know… We have over 160 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.

Support