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

  2.   ''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion.
    A. The sum of 8 and 24 must be odd.
    B. If the numbers 8 and 24 are even, then their sum is 32.
    C. The sum of 8 and 24 must be even.
    D. If the numbers 8 and 24 are odd, then their sum is 32.
    Hint

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

  4.   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 measures of supplementary angles add up to 180.
    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

  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 are congruent.
    B. 1 and 2 are not congruent.
    C. 1 and 2 both have a measure of 45.
    D. Both1 and 2 are obtuse.
    Hint



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