1. The process of using facts, rules, definitions, or properties in logical order to reach a conclusion is called A. deductive reasoning B. inductive reasoning C. detachment reasoning D. conjecturing Hint 2. Which statement follows from statements (1) and (2) by the Law of Detachment? (1) If a triangle is an obtuse triangle, then the measure of one of the angles is greater than 90 but less than 180. (2) is an obtuse triangle. A. B. no valid conclusion C. D. Hint 3. Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180. (2) If the sum of the measures of two angles is 180, then the angles are supplementary. A. If two angles are supplementary, then the sum of the measures of the angles is 180. B. If the sum of the measures of two angles is 180, then the angles form a linear pair. C. If two adjacent angles form a linear pair, then the angles are supplementary. D. If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180. Hint 4. If it is raining, then Sue and Ian will not go to the football game is a true conditional, and it is raining. Use the Law of Detachment to reach a logical conclusion. A. Sue and Ian will not go to the football game. B. Ian will go to the football game if Sue goes. C. Sue and Ian will go to the football game. D. The football game will not be played in the rain. Hint 5. The statements ''If Eric reads the book, he will be prepared for the exam'' and ''If Eric is prepared for the exam, he will get a passing grade'' are two conditionals. Use the Law of Syllogism to reach a logical conclusion. A. If Eric gets a passing grade, then he did prepare for the exam. B. If Eric reads the book, then he will get a passing grade. C. no logical conclusion. D. If Eric prepares for the exam, then he will read the book. Hint