# hsm12gmse 0202.pdf - 2-2 Conditional Statements Content...

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Lesson 2-2Conditional Statements89ObjectivesTo recognize conditional statements and their partsTo write converses, inverses, and contrapositives of conditionals2-2Conditional StatementsKey ConceptConditional StatementsDefinitionAconditionalis anif-thenstatement.Thehypothesisis the partpfollowingif.Theconclusionis the partqfollowingthen.SymbolspPqRead as“ifpthenq” orpimpliesq.”DiagramqpThe company that prints the bumper sticker at the left belowaccidentally reworded the original statement and printed the stickerthree different ways. Suppose the original bumper sticker is true. Arethe other bumper stickers true or false? Explain.The study ofif-thenstatements and their truth values is a foundation of reasoning.Essential UnderstandingYou can describe some mathematical relationshipsusing a variety ofif-thenstatements.The Venn diagram above illustrates how the set of things that satisfy the hypothesis liesinside the set of things that satisfy the conclusion.Dynamic ActivityConditionalStatementsACTIVITIESDCACACIESDYNAMICLessonVocabularyt!conditionalt!hypothesist!conclusiont!truth valuet!negationt!converset!inverset!contrapositivet!equivalentstatementsLVLVt!cLLVVVtcTry to make senseof the statementson the bumperstickers byfiguring out whenthey are true, andwhen they arefalse.Content StandardsPrepares for G.CO.9Prove theorems about lines andangles.Prepares for G.CO.10Prove theorems about triangles.Prepares for G.CO.11Prove theorems aboutparallelograms.MATHEMATICALPRACTICES
Problem 1Got It?Problem 2Got It?Problem 3Got It?90Chapter 2Reasoning and ProofGWhat would a Venndiagram look like?A robin is a kind of bird,so the set of robins (R)should be inside the setof birds (B).RBIdentifying the Hypothesis and the ConclusionWhat are the hypothesis and the conclusion of the conditional?If an animal is a robin, then the animal is a bird.Hypothesis (p): An animal is a robin.Conclusion (q): The animal is a bird.

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Term
Fall
Professor
NoProfessor
Tags
True, Switch statement, Arithmetic IF