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Conditional Statements

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1 Conditional Statements
Notes 2.2 Conditional Statements

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

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

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

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

6 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.

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

8 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.

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

10 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.

11 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.

12 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.

13 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

14 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

15 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.

16 Venn Diagrams FOOD Pizza

17 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

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