1. Conditional Statements: logical statements with two parts.
In if-then form
If part = hypothesis
Then part = conclusion
Example: If it is summertime, then there is no school.
hypothesis – it is summertime
conclusion – there is no school

2. If it is Monday, then I will go to school. What is the hypothesis?

3. Negation Opposite of original Examples: original – I am hot.
negation – I am not hot.
original – It is not sunny.
negation – It is sunny.

4. Inverse The negation of a conditional statement Example:
Original conditional – If it is summer, then there is no school..
Inverse – If it is not summer, then there is school.

5. Converse
Switch the hypothesis and conclusion of the original conditional statement.
Example:
Original conditional – If it is summer, then there is no school.
Converse – If there is no school, then it is summer.

6. Contrapositive
The negation of the converse or the converse of the inverse
Example:
Original conditional – If it is summer, then there is no school.
Contrapositive – If there is school, then it is not summer.

7. Example
Original conditional – If a polygon is regular, then it is equilateral.
Inverse – If a polygon is not regular, then it is not equilateral.
Converse – If a polygon is equilateral, then it is regular.
Contrapositive – If a polygon is not equilateral, then it is not regular.

8. If I go to SHA, then I will not get enough sleep. What is the converse?
If I do not go to SHA, then I will get enough sleep.
If I get enough sleep, then I do not go to SHA.
If I do not get enough sleep, then I go to SHA.
None of the above.