Conditional Statements

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Presentation transcript:

Conditional Statements Notes 2.2 Conditional Statements

Definitions Conditional Statement – an “if, then” statement.

Definitions Conditional Statement – an “if, then” statement. Hypothesis - The “if” part of the conditional statement.

Definitions Conditional Statement – an “if, then” statement. Hypothesis - The “if” part of the conditional statement. Conclusion – The “then” part of the conditional statement.

Identify the hypothesis and conclusion of each conditional. A. If today is Thanksgiving Day, then today is Thursday.

Identify the hypothesis and conclusion of each conditional. A. If today is Thanksgiving Day, then today is Thursday. Hypothesis: Today is Thanksgiving Day. Conclusion: Today is Thursday.

Identify the hypothesis and conclusion of each conditional. B. When you miss curfew you will be grounded!

Identify the hypothesis and conclusion of each conditional. B. When you miss curfew you will be grounded! Hypothesis: You miss curfew. Conclusion: You will be grounded.

Other Conditional Statements Converse – the statement formed by switching out the if and then.

Other Conditional Statements Converse – the statement formed by switching out the if and then. Inverse – the statement formed by negating the hypothesis and the conclusion.

Other Conditional Statements Converse – the statement formed by switching out the if and then. Inverse – the statement formed by negating the hypothesis and the conclusion. Contrapositive – the statement formed by switching out the hypothesis and conclusion and negating them both.

Example Write the converse, inverse, and contrapostive of the conditional statement “If an animal is a cat, then it has four paws.” If an animal is a cat, then it has four paws.

Answers to Example If an animal is a cat, then it has four paws. Converse: If an animal has 4 paws, then it is a cat. False

Answers to Example If an animal is a cat, then it has four paws. Converse: If an animal has 4 paws, then it is a cat. False Inverse: If an animal is not a cat, then it does not have 4 paws. False

Answers to Example If an animal is a cat, then it has four paws. Converse: If an animal has 4 paws, then it is a cat. False Inverse: If an animal is not a cat, then it does not have 4 paws. False Contra: If an animal does not have 4 paws, then it is not a cat; True.

Venn Diagrams FOOD Pizza

Venn Diagrams If it is pizza, then it is a food. Conditional Statement If it is pizza, then it is a food. ou The other way would not have to be true. FOOD Pizza