1.   The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________.
    A. reasonable doubt B. detachment reasoning
    C. inductive reasoning D. deductive reasoning
    Hint

  2.   Find the number of different segments formed by 8 collinear points.
    A. 27 B. 21
    C. 28 D. 36
    Hint

  3.   Which statement follows from (1) and (2) by the Law of Syllogism?

(1) If two angles form a linear pair, then they are supplementary.

(2) If two angles are supplementary, then the sum of their measures is 180.

    A. Supplementary angles form a linear pair.
    B. The sum of the measures of the angles in a linear pair is 180.
    C. The measures of supplementary angles add up to 180.
    D. A linear pair is formed by supplementary angles.
    Hint

  4.   Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square.
    A. If WXYZ is not a square, then it has four right angles.
    B. WXYZ has four right angles.
    C. If WXYZ is not a square, then it does not have four right angles.
    D. If WXYZ has four right angles, then it is a square.
    Hint

  5.   Which law is similar to the Transitive Property?
    A. Law of Conditional B. Law of Detachment
    C. Law of Deductive Reasoning D. Law of Syllogism
    Hint



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