1. Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music? A. Someone used her car during the weekend and changed the station. B. Her favorite station has changed their morning program to include country music. C. A country music station bought out her favorite music station over the weekend. D. All statements are valid conjectures. Hint 2. The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________. A. inductive reasoning B. reasonable doubt C. detachment reasoning D. deductive reasoning Hint 3. Name the property of equality that justifies the following statement.If CD = MN and CD = RS, then MN = RS. A. Reflexive Property (=) B. Symmetric Property (=) C. Distributive Property (=) D. Substitution Property (=) Hint 4. For the proof shown, provide the reason for part f. A. Definition of congruent segments B. Symmetric Property of Equality C. Definition of Addition D. Definition of a line Hint 5. In the figure shown, is complementary to and is complementary to . Which statement is true if none of the measures of the angles equal 45? A. B. is complementary to . C. is complementary to itself. D. Hint 6. Make a conjecture based on the following information. M is obtuse. A. mM = 30 B. M is straight C. mM is not 180 D. M is acute Hint 7. In order to find the contrapositive of a conditional, you must first find the _____ and then find the _____ of each part. A. converse, inverse B. hypothesis, converse C. converse, negation D. inverse, negation Hint 8. What is the negation of the conclusion of the following conditional?All birds can fly. A. It is not a bird. B. It is a bird C. It can fly. D. It cannot fly. Hint 9. ''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion. A. If you double an odd number, the result is another odd number. B. The result of doubling 317 is an even number. C. The result of doubling 234 is an odd number. D. When you triple a number, the result must be an even number. Hint 10. Which is an example of the Symmetric Property? A. 2x = 2x B. If 2x = 12, then x = 6 C. 5(6 - 2) = 30 - 10 D. If 0.2 = , then = 0.2 Hint 11. For the proof shown, provide statement 3. A. AB = CD B. CD = EF C. AB = BA D. AB = EF Hint 12. Which statement explains why A. If two angles form a linear pair, then they are supplementary. B. If the sum of the measures of two angles is 180, then they are supplementary. C. All right angles are congruent. D. Angles supplementary to the same angle are congruent. Hint