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. deductive reasoning D. inductive reasoning
    Hint

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

  3.   ''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. The result of doubling 317 is an even number.
    B. When you triple a number, the result must be an even number.
    C. The result of doubling 234 is an odd number.
    D. If you double an odd number, the result is another odd number.
    Hint

  4.   Using the following conditional, which conclusion would follow from the Law of the Contrapositive? State if it is valid or invalid. If two angles are vertical angles then they are congruent.
    A. The angles are vertical angles; invalid B. The angles are vertical angles; valid
    C. The angles are not vertical angles; invalid D. The angles are not vertical angles; valid
    Hint

  5.   Using the following conditional, which conclusion would follow from the Law of the Contrapositive? State if it is valid or invalid. If an angle is 20° then it is obtuse.
    A. The angle is not 120°; invalid B. The angle is not 120°; valid
    C. The angle is obtuse; invalid D. The angle is obtuse; valid
    Hint