54 Inverses and Contrapositives - Poudre School...
Transcript of 54 Inverses and Contrapositives - Poudre School...
5.4 (after 2.1) Inverses and Contrapositives 2010
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September 10, 2010
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54 Inverses and Contrapositives
Objectives: 1. Write the negation of a statement.2. Write the inverse and contrapositive of a conditional statement.
5.4 (after 2.1) Inverses and Contrapositives 2010
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5.4 (after 2.1) Inverses and Contrapositives 2010
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When a statement is false,
Fort Collins is the capital of Colorado.
the NEGATION of the statement is true.
Fort Collins is NOT the capital of Colorado.
5.4 (after 2.1) Inverses and Contrapositives 2010
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September 10, 2010
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Write the negation of each statement.
a. Angle ABC is obtuse.
b. Today is not Tuesday.
5.4 (after 2.1) Inverses and Contrapositives 2010
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Writing Inverse and Contrapositive
5.4 (after 2.1) Inverses and Contrapositives 2010
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Write the converse, inverse, and contrapositive of the following conditional.
Conditional: If you don't stand for something, you'll fall for anything.
Converse:
Inverse:
Contrapositive:
5.4 (after 2.1) Inverses and Contrapositives 2010
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Write the converse, inverse, and contrapositive of the following conditional.
Conditional: If it's raining outside, then the sidewalks are wet.
Converse:
Inverse:
Contrapositive:
5.4 (after 2.1) Inverses and Contrapositives 2010
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A conditional and its contrapositive will ALWAYS have the same truth value.
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5.4 (after 2.1) Inverses and Contrapositives 2010
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Homework
p. 283 #19, 3437, 4245