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

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

  3.   Which law is similar to the Transitive Property?
    A. Law of Syllogism B. Law of Deductive Reasoning
    C. Law of Conditional D. Law of Detachment
    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. The result of doubling 234 is an odd number.
    B. The result of doubling 317 is an even number.
    C. If you double an odd number, the result is another 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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