1.   A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true.
    A. postulate B. proof
    C. theorem D. definition
    Hint
  2.   Write the inverse of the conditional ''If Deanna eats the last cookie, then Leon will buy more.''
    A. If Deanna eats the last cookie, then Leon will not buy more.
    B. If Deanna does not eat the last cookie, then Leon will not buy more.
    C. If Deanna does not eat the last cookie, then Leon will buy more.
    D. If Leon does not buy more, then Deanna did not eat the last cookie.
    Hint
  3.   The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________.
    A. deductive reasoning B. inductive reasoning
    C. reasonable doubt D. detachment reasoning
    Hint
  4.   ''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 even, then their sum is 32.
    B. The sum of 8 and 24 must be odd.
    C. If the numbers 8 and 24 are odd, then their sum is 32.
    D. The sum of 8 and 24 must be even.
    Hint
  5.   Which of the following is not one of the five essential parts needed to construct a good proof?
    A. List the given information.
    B. If possible, draw a diagram to illustrate the given information.
    C. State the theorem to be proved.
    D. Develop a system of inductive reasoning.
    Hint
  6.   If and form a linear pair and find
    A. 76 B. 106
    C. 86 D. 96
    Hint
  7.   In the figure shown, is complementary to and is complementary to . Which statement is true if none of the measures of the angles equal 45?
   
    A. is complementary to itself. B.
    C. D. is complementary to .
    Hint
  8.   A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information?
    A. The team won their last 5 games. B. The team played 19 games..
    C. The team finished 5th in their conference. D. The team was undefeated.
    Hint
  9.   To show that a conjecture is false, you need to provide one _____.
    A. theorem B. possibility
    C. counterexample D. guess
    Hint
  10.   What is the negation of the conclusion of the following conditional?
All birds can fly.
    A. It is a bird B. It is not a bird.
    C. It can fly. D. It cannot fly.
    Hint
  11.   What is a valid conclusion to the following hypothesis?
If there are two points...
    A. There are an infinite number of lines containing both points.
    B. There are two lines containing both points.
    C. There is one line containing both points.
    D. There are no lines containing both points.
    Hint
  12.   Name the property that justifies the statement.

''If 2x = 12, then x = 6''.
    A. Division Property (=) B. Transitive Property (=)
    C. Multiplication Property (=) D. Symmetric Property
    Hint
  13.   Which cannot be used as a reason in a proof?
    A. Algebra properties B. Definitions
    C. postulates D. conjectures
    Hint
  14.   For the proof shown, provide the reason for part b.
   
   
    A. Definition of congruent segments B. Definition of a line
    C. Definition of Addition D. Symmetric Property (=)
    Hint
  15.   For the proof shown, provide the reason for part d.
   
   
    A. Definition of Addition B. Symmetric Property (=)
    C. Definition of a line D. Definition of congruent segments
    Hint
  16.   Construct a truth table for pq.
    A.
    B.
    C.
    D.
    Hint

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