Ch 2: McDougal Littell Geometry Chapter 2: Reasoning and Proof

About This Chapter

The Reasoning and Proof chapter of this McDougal Littell Geometry Textbook companion course helps students learn essential geometry lessons of reasoning and proof. 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 McDougal Littell Geometry Textbook 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:

  • Critical thinking and logic in mathematics
  • Conditional statements in math
  • Rewriting conditional statements in if-then form
  • Logical math connectors: conjunctions and disjunctions
  • Logical equivalence: converse, inverse, contrapositive and counterexample
  • Writing postulates about points, lines and planes using conditional statements
  • Biconditional statements
  • Using symbolic notation
  • Inductive and deductive reasoning in geometry
  • The law of detachment
  • The law of syllogism
  • Properties and postulates of geometric figures
  • Algebraic laws and geometric postulates
  • The distributive property and algebraic expressions
  • Using properties of length and measure
  • Properties of segment congruence
  • Writing a paragraph proof
  • Using congruence of segments
  • Properties of angle congruence
  • Right angle congruence theorem
  • Congruent supplements theorem
  • Congruent complements theorem
  • Linear pair postulate
  • Vertical angles theorem

McDougal Littell Geometry is a registered trademark of McDougal Littell, which is not affiliated with Study.com.

8 Lessons in Chapter 2: McDougal Littell Geometry Chapter 2: Reasoning and Proof
Test your knowledge with a 30-question chapter practice test
Critical Thinking and Logic in Mathematics

1. 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.

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.

Logical Math Connectors: Conjunctions and Disjunctions

3. Logical Math Connectors: Conjunctions and Disjunctions

Watch this video lesson to learn how to identify conjunctions and disjunctions. Also learn the connectors that are used with each. Learn how you can use them to make statements.

Logic Laws: Converse, Inverse, Contrapositive & Counterexample

4. Logic Laws: Converse, Inverse, Contrapositive & Counterexample

Logical statements can be useful, but only if we are able to determine their validity. In this lesson, we'll look at the various forms of a logical statement and see how they relate to each other.

Inductive & Deductive Reasoning in Geometry: Definition & Uses

5. 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.

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.

Algebraic Laws and Geometric Postulates

7. 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.

The Distributive Property and Algebraic Expressions

8. The Distributive Property and Algebraic Expressions

The order of operations is great. But sometimes we need to bend the rules to simplify an equation. Fortunately, the distributive property gives us a scenario in which this is okay. Learn all about it in this lesson.

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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