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Ch 2: Chapter 2: Reasoning and Proof

About This Chapter

The Reasoning and Proof chapter of this Holt McDougal Larson Geometry Companion Course helps students learn the essential lessons associated with proof and reasoning. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Reasoning and Proof textbook chapter.

How It Works:

  • Identify the lessons in the Holt McDougal Reasoning and Proof chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the reasoning and proof 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:

  • Inductive and deductive reasoning
  • Conditional statements
  • Postulates and diagrams
  • Propositions and truth values
  • Proofs for angle pair relationships

Holt McDougal is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

7 Lessons in Chapter 2: Chapter 2: Reasoning and Proof
Test your knowledge with a 30-question chapter practice test
Inductive & Deductive Reasoning in Geometry: Definition & Uses

1. 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.

Conditional Statements in Math

2. Conditional Statements in Math

Sometimes, what is true in the mathematical world of logic is false in the real world. Check out this lesson to learn how to identify conditional statements and how you can differentiate between what is logically true and what is true in reality.

Propositions, Truth Values and Truth Tables

3. Propositions, Truth Values and Truth Tables

Watch this video lesson and learn what truth values are and what a truth table looks like. Learn how to go from a proposition to its negation and how that affects the truth values and the truth tables.

Properties and Postulates of Geometric Figures

4. 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

5. 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.

Geometric Proofs: Definition and Format

6. 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.

Corresponding Angles: Definition, Theorem & Examples

7. Corresponding Angles: Definition, Theorem & Examples

In this lesson, you will learn how to identify corresponding angles. You will also learn how to use a theorem to find missing angles and solve everyday geometry problems.

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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