Lesson 3-3: Converse, Inverse, & ContrapositiveName: ________________________Learning Targets:Write and determine the truth value of the converse, inverse, and contrapositive of a conditional statement.Write and interpret biconditional statements.Every conditional statement has 3 related conditionals. These are the converse, inverse, and contrapositiveof the conditional statement. The converse of a conditional is formed by interchangingthe hypothesis and conclusion of the statement. The inverse is formed by negatingboth the hypothesis and the conclusion. Finally, the contrapositive is formed by interchanging and negating both the hypothesis and conclusion. Conditional: If p, then q.Converse: If q, then p.Inverse: If not p, then not q.Contrapositive: If not q, then not p.1.Given the conditional statement:If a figure is a triangle, then it is a polygonComplete the table.Form of thestatementWrite the statementTrue or False?If the statement is false,give a counterexample.
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- Winter '17
- Logic, Biconditional Statements