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

  2.   Find the number of different segments formed by 8 collinear points.
    A. 36 B. 21
    C. 28 D. 27
    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. A linear pair is formed by supplementary angles.
    B. Supplementary angles form a linear pair.
    C. The sum of the measures of the angles in a linear pair is 180.
    D. The measures of supplementary angles add up to 180.
    Hint

  4.   ''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion.
    A. If you double an odd number, the result is another odd number.
    B. The result of doubling 317 is an even number.
    C. The result of doubling 234 is an odd number.
    D. When you triple a number, the result must be an even number.
    Hint

  5.   ''If two angles are vertical, then they are congruent.'' is a true conditional, and 1 and 2 are vertical. Which is not true based on the Law of Detachment?
    A. 1 and 2 both have a measure of 45.
    B. 1 and 2 are congruent.
    C. Both1 and 2 are obtuse.
    D. 1 and 2 are not congruent.
    Hint



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