Conditional Statements: logical statements with two parts.

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Presentation transcript:

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

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

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

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.

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.

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.

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.

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.