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 Deductive Reasoning
    C. Law of Syllogism D. Law of Detachment
    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. If the numbers 8 and 24 are odd, then their sum is 32.
    B. If the numbers 8 and 24 are even, then their sum is 32.
    C. The sum of 8 and 24 must be odd.
    D. The sum of 8 and 24 must be even.
    Hint

  3.   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. If WXYZ has four right angles, then it is a square.
    C. If WXYZ is not a square, then it does not have four right angles.
    D. WXYZ has four right angles.
    Hint

  4.   Which law is similar to the Transitive Property?
    A. Law of Syllogism B. Law of Deductive Reasoning
    C. Law of Detachment D. Law of Conditional
    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 not congruent.
    B. 1 and 2 are congruent.
    C. Both1 and 2 are obtuse.
    D. 1 and 2 both have a measure of 45.
    Hint



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