1. Conditional Statements
Section 2.3

2. Conditional Statements
Conditional statement: an “if-then” statement that contains a hypothesis and conclusion
Example: If you have a dog, then you have a pet.
Hypothesis: You have a dog.
Conclusion: You have a pet.
Example: If you live in Rexburg, then you live in Idaho.
Hypothesis:
Conclusion:

3. Conditional Statements
Rewrite each conditional statement in if-then form:
My parents will let me go to the game if I get my homework done.
We will not have school if it is a holiday.
All dogs are animals.
Fridays are good days!

4. Counterexamples
Decide if the statement is true or false. If false, provide a counterexample.
If you live in Idaho, then you live in the United States.
If you live in the United States, then you live in Idaho.
If 3 points are coplanar, then they are collinear.
If 𝑥+7=10, then 𝑥=3.

5. Converse, Inverse, Contrapositive
If you live in Idaho, then you live in the United States.
Converse: formed by switching the hypothesis and conclusion
Example: If you live in the United States, then you live in Idaho
Inverse: formed by negating the hypothesis and the conclusion.
Example: If you do not live in Idaho, then you do not live in the United States.
Contrapositive: formed by switching and negating hypothesis and conclusion.
Example: If you do not live in the United States, then you do not live in Idaho.

6. Converse, Inverse, Contrapositive
Rewrite the conditional statement in if-then form. Then write it’s converse, inverse, and contrapositive.
Every student in this class goes to Madison High School.