2.1 Review Worksheet (continued)
Write a conditional statement from each sentence. 13. You should monitor the heart rate of a patient who is ill.
14. After three strikes, the batter is out.
15. Congruent segments have equal measures.
Determine if each conditional is true. If false, give a counterexample. 16. If you subtract − 2 from − 6, then the result is − 4.
17. If two planes intersect, then they intersect in exactly one point.
18. If a cat is a bird, then today is Friday.
Write the converse, inverse, and contrapositive of each conditional statement. Find the truth value of each. 19. If the probability of an event is 0.1, then the event is unlikely to occur.
20. If freezing rain is falling, then the air temperature is 32ºF or less. ( Hint: The freezing point of water is 32ºF.)
2.1.3 Using Deductive Reasoning to Verify Conjectures Does each conclusion use inductive or deductive reasoning? 21. The sum of the angle measures of a triangle is 180º. Two angles of a triangle measure 40º and 60º, so Kandy concludes that the third angle measures 80º.
22. All of the students in Henry’s Geometry class are juniors. Alexander takes Geometry, but has another teacher. Henry concludes that Alexander is also a junior.
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