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

  2.   The ______ states that if is a true conditional and p is true, then q is true.
    A. Law of Deductive Reasoning B. Law of Syllogism
    C. Law of Conditionals D. Law of Detachment
    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. D. no valid conclusion
    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 the sum of the measures of two angles is 180, then the angles form a linear pair. B. If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180.
    C. If two adjacent angles form a linear pair, then the angles are supplementary. D. If two angles are supplementary, then the sum of the measures of the angles is 180.
    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. Sue and Ian will go to the football game. B. The football game will not be played in the rain.
    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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