About This 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.
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.
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.
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.
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.
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.
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.
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.
Earning College Credit
Did you know… We have over 200 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.
Other chapters within the Holt McDougal Larson Geometry: Online Textbook Help course
- Chapter 1: Essentials of Geometry
- Chapter 3: Parallel and Perpendicular Lines
- Chapter 4: Congruent Triangles
- Chapter 5: Relationship Within Triangles
- Chapter 6: Similarities
- Chapter 7: Right Triangles and Trigonometry
- Chapter 8: Quadrilaterals
- Chapter 9: Properties of Transformations
- Chapter 10: Properties of Circles
- Chapter 11: Measurements of Figures and Solids
- Chapter 12: Probability