1. Lesson 2.5: Conditional Statements & Deductive Reasoning
Unit 2: Logic & Proof
Lesson 2.5: Conditional Statements & Deductive Reasoning

2. Conditional Statements

3. Conditional Statements

4. Conditional Statements

5. Conditional Statements

6. Conditional Statements
A conditional statement has three other forms; the converse, inverse, and contra-positive. Each one is formed by altering the hypothesis and conclusion of the original conditional statement.
To write the converse, switch the hypothesis and conclusion
To write the inverse, write the negative form of the hypothesis and conclusion
To write the contra-positive, switch the hypothesis and conclusion and write the negative form of both.
Example: If the sky is blue then the Ocean is blue
Converse – If the ocean is blue then the sky is blue
Inverse – If the sky is not blue then the ocean is not blue
Contra-Positive – If the ocean is not blue then the sky is not blue

7. Conditional Statements

8. Deductive Reasoning

9. Deductive Reasoning

10. Deductive Reasoning

11. Deductive Reasoning

12. Deductive Reasoning

13. Deductive Reasoning

14. Deductive Reasoning

15. Deductive Reasoning