1.   The process of using facts, rules, definitions, or properties in logical order to reach a conclusion is called
    A. detachment reasoning B. deductive reasoning
    C. inductive reasoning D. conjecturing
    Hint

  2.   Which law states that if and are true conditionals, then is also true?
    A. Law of Syllogism B. Law of Detachment
    C. Law of Conditionals D. Law of Deductive Reasoning
    Hint

  3.   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. no valid conclusion B.
    C. D.
    Hint

  4.   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

  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 reads the book, then he will get a passing grade. B. If Eric prepares for the exam, then he will read the book.
    C. If Eric gets a passing grade, then he did prepare for the exam. D. no logical conclusion.
    Hint



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