1.   Which law states that if a conditional is true and its hypothesis is true, then the conclusion is true?
    A. Law of Deductive Reasoning B. Law of Detachment
    C. Law of Conditional D. Law of Syllogism
    Hint

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

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

(1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral.

    A. If an object is a square, then it is an equilateral. B. If an object is an equilateral, then it is a square.
    C. An object is a square. D. An object is a rhombus.
    Hint

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

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



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