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
A proposition is a statement that can be given one of two truth values: it's either true or it is false. Explore how truth values can be placed into a truth table using one of four logic combinations.
2. Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
Logical fallacies refer to ways people attempt to reason and prove statements that are not based on pure fact. Discover four examples of logical fallacies including hasty generalization, circular reasoning, false cause, and limited choice.
3. Logical Math Connectors: Conjunctions and Disjunctions
Logical math connectors are used to combine two statements with either a conjunction or disjunction. Learn how to recognize statements and discover the importance of connectors and the difference between conjunctions and disjunctions.
4. Conditional Statements in Math
A conditional statement is a type of mathematical logic that uses an if-then structure to combine two statements; however, conditional statements may not make sense in reality. Investigate the parts of a conditional statement, and discover how a statement can be true in the world of logic, but false in the real world.
5. The Parallel Postulate: Definition & Examples
In geometry, the parallel postulate argues that if a third line is used to connect two straight lines, and that third line creates two angles on the same side that are each less than 90 degrees, then the two straight lines will eventually intersect. Review examples and recognize why this postulate is important in geometry.
6. Programming Logic & Syntax: The Programming Toolbox
Programming languages all have their own unique set of rules, called syntax, which determines how symbols and words can be combined into a program. Explore the programming toolbox, including statements, variables, and keywords, and what purpose they serve in program syntax.
7. Boolean Logic, Operators & Expressions
A widely used data type is Boolean data, which only allows for true and false values. Learn more about Boolean logic by examining its expressions and the three main Boolean operators.
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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