1 / 5

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:.

fadey
Download Presentation

3.5/3.7 Converses, Negations and Contrapositives

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  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

More Related