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3.5/3.7 Converses, Negations and Contrapositives

3.5/3.7 Converses, Negations and Contrapositives. Learning Objective: to write converses, inverses and contrapositives and use them in logical arguments. Warm-up (IN). A, B, and C are the following statements:.

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3.5/3.7 Converses, Negations and Contrapositives

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  1. 3.5/3.7 Converses, Negations and Contrapositives Learning Objective: to write converses, inverses and contrapositives and use them in logical arguments. Warm-up (IN) • A, B, and C are the following statements: 1. If A is the hypothesis and C is the conclusion, is the conditional statement True or False? True 2. If C is the hypothesis and A is the conclusion, is it True or False? False False 3. Consider the statement, “If A, then B.” True or False?

  2. Notes B O T A Converse - The hypothesis and conclusion are switched If a figure is a square, then it has 4 sides. If a figure has 4 sides, then it is a square. Ex 1 – If a quadrilateral is a rhombus, then it has a pair of parallel sides. a. Draw a diagram and state the hyp and concl. Given: BOAT is a rhombus BO//TA Prove:

  3. B O T A b. Draw a diagram of the converse and state the hyp and concl. Given: BO//TA Prove: BOAT is a rhombus CKC p. 138 Conditional - If P, then Q. If Q, then P. Converse - If not P, then not Q. Inverse - If not Q, then notP. Contrapositive -

  4. Ex 2 – Rewrite the statement as a conditional, then write the converse, inverse and contrapositive. T or F? A square is a rhombus. Conditional - If a figure is a square, then it is a rhombus. T F Converse - If a figure is a rhombus, then it is a square. Inverse - If a figure is not a square, then it is not a rhombus. F Contrapositive - If a figure is not a rhombus, then it is not a square. T

  5. Out – Write the converse, inverse and contrapositive of “If I live in Conifer, then I live in Colorado.” T or F? Summary – I have questions about… Quiz Monday – 3.2-3.4 HW – p. 138-139 #4-9,11 p. 151-152 #16-20

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