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

  2.   Which law states that if and are true conditionals, then is also true?
    A. Law of Detachment B. Law of Syllogism
    C. Law of Deductive Reasoning D. Law of Conditionals
    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. B.
    C. no valid conclusion 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 adjacent angles form a linear pair, then the angles are supplementary. B. If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180.
    C. If two angles are supplementary, then the sum of the measures of the angles is 180. D. If the sum of the measures of two angles is 180, then the angles form a linear pair.
    Hint

  5.   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. The football game will not be played in the rain. B. Sue and Ian will go to the football game.
    C. Ian will go to the football game if Sue goes. D. Sue and Ian will not go to the football game.
    Hint



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