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2-2 Conditional Statements Objectives: To recognize conditional statements and their parts To write converses, inverses, and contrapositives of conditionals.

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Presentation on theme: "2-2 Conditional Statements Objectives: To recognize conditional statements and their parts To write converses, inverses, and contrapositives of conditionals."— Presentation transcript:

1 2-2 Conditional Statements Objectives: To recognize conditional statements and their parts To write converses, inverses, and contrapositives of conditionals

2

3 What are the hypothesis and 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.

4 A conditional is an if-then statement. Hypothesis (p): Vertical angles Conclusion (q): share a vertex 1.Identify the hypothesis and the conclusion. 2.Write the conditional Write the following statement as a conditional Vertical angles share a vertex. If two angles are vertical, then they share a vertex.

5 Truth value of a conditional is either true or false. If a month has 28 days, then it is February. True or False? False; January has 28 days, plus 3 more. If two angles form a linear pair, then they are supplementary. True; the sum of the measures of two angles that form a linear pair is 180.

6 The negation of a statement p is the opposite of the statement. The negation of the statement “The sky is blue” is “The sky is not blue.”

7 p.93:5-12, 16-19, 51-54

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