1. 2-3 Deductive Reasoning Objectives:
To use the Law of Detachment and the Law of Syllogism in deductive reasoning.
To Solve problems by looking for a pattern.

2. Vocabulary Looking for a pattern Law of Detachment Deductive Reasoning
Law of Syllogism

3. Law of Detachment
If p → q is a true conditional and p is true, then q is true.

4. Examples

5. Deductive Reasoning
The Law of Detachment and other laws can be used to provide a system for reaching logical conclusions. This system is called deductive reasoning. Deductive Reasoning is one of the cornerstones of the study of geometry.

6. Law of Syllogism
If p → q and q → r are true conditionals, then p → r is also true.

7. Examples

8. Examples

9. Examples

10. Homework
2-3 Worksheet