Conditional Statements

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Presentation transcript:

Conditional Statements Section 2.3

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:

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!

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.

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.

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.