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

  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 Deductive Reasoning D. Law of Conditionals

  3.   The ______ states that if is a true conditional and p is true, then q is true.
    A. Law of Deductive Reasoning B. Law of Conditionals
    C. Law of Syllogism D. Law of Detachment

  4.   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

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

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