Ch 11: Holt Geometry Chapter 12: A Closer Look at Proof and Logic
About This Chapter
How it works:
- Identify the lessons in Holt Geometry's A Closer Look at Proof and Logic chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the geometry proof and logic 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:
- Propositions, truth values and truth tables
- Logical fallacies
- Logical math connectors
- Conditional statements in mathematics
- Parallel postulate and indirect proof
- Programming logic and syntax
- Boolean logic, operators and expressions
Holt Geometry is a registered trademark of Holt, Rinehart and Winston, which is not affiliated with Study.com.
1. 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.
2. Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
Watch this video lesson to see how you can identify cases where logic is not sound. Learn the characteristic traits of hasty generalization, circular reasoning, false cause, and limited choice.
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.
4. 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.
5. The Parallel Postulate: Definition & Examples
In this lesson, you will learn about an important postulate in Euclidean geometry, called the Parallel Postulate. It sounds kind of hard, but this lesson explains it in simple terms and provides several examples of it as well.
6. Programming Logic & Syntax: The Programming Toolbox
A programming language has its own syntax that dictates how words and symbols can be put together to form a program. Learn about programming's use of statements, variables and keywords in this video lesson.
7. Boolean Logic, Operators & Expressions
Programming uses Booleans, which are used to represent values of true and false. Many operations use Boolean logic. Learn how Boolean operators and expressions are used.
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Other Chapters
Other chapters within the Holt Geometry: Online Textbook Help course
- Holt Geometry Chapter 1: Exploring Geometry
- Holt Geometry Chapter 2: Reasoning in Geometry
- Holt Geometry Chapter 3: Parallels and Polygons
- Holt Geometry Chapter 4: Triangle Congruence
- Holt Geometry Chapter 5: Perimeter and Area
- Holt Geometry Chapter 6: Shapes in Space
- Holt Geometry Chapter 7: Surface Area and Volume
- Holt Geometry Chapter 8: Similar Shapes
- Holt Geometry Chapter 9: Circles
- Holt Geometry Chapter 10: Trigonometry
