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Chapter 2.2 Notes: Analyze Conditional Statements

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1 Chapter 2.2 Notes: Analyze Conditional Statements
Goal: You will write definitions as conditional statements.

2 Lets make our foldable Converse: Switch the Hypothesis & Conclusion of the conditional statement p q (cond); qp (converse) Inverse: Negate both the Hypothesis & the Conclusion p q ; pq (inverse) Contrapositive: Negate the converses’ Hypothesis & Conclusion p q ; qp (contra) Biconditional: Can be written when the conditional & converse statement are both true. Using the phrase “if & only if” (iff) into a single phrase.

3 Look @ your notes Hypothesis Conclusion
The “if” part of the statement is called the _______________. The “then” part of the statement is called the ____________. Hypothesis Conclusion

4 A conditional statement is a logical statement that has two parts, a hypothesis and a conclusion.

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7 Ex.2: Rewrite the conditional statement in if-then form.
a. All whales are mammals. If an animal is a whale, then it is a mammal. b. Three points are collinear if there is a line containing them. If three points are collinear, then there is a line containing them. OR If there is a line containing three points, then the three points are collinear.

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12 Ex. 11: Use the diagram shown. Decide whether each statement is true
Ex.11: Use the diagram shown. Decide whether each statement is true. Explain your answer using the definitions you have learned. a. _________ and _________ are supplementary. b. Point M is the midpoint of . c. ________ and ________ are vertical angles. d.


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