1.   Refer to the figure. If G is the midpoint of , which conjecture is true?
   
    A. None of the statements are true.
    B. is exactly 5 feet long.
    C. intersects at exactly two points.
    D.
    Hint
  2.   Determine the converse of the following if-then statement.
If the flowers are yellow, then they are daffodils.
    A. If the flowers are daffodils, then they are yellow.
    B. If the flowers are not yellow, then they are not daffodils.
    C. The flowers are not daffodils.
    D. The flowers are not yellow.
    Hint
  3.   A ______________ is a diagram that can be used to illustrate a conditional.
    A. Venn diagram B. flow chart
    C. tree diagram D. bar graph
    Hint
  4.   The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________.
    A. inductive reasoning B. deductive reasoning
    C. detachment reasoning D. reasonable doubt
    Hint
  5.   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 an equilateral, then it is a square. B. If an object is a square, then it is an equilateral.
    C. An object is a square. D. An object is a rhombus.
    Hint
  6.   Name the property of equality that justifies the following statement.
If CD = MN and CD = RS, then MN = RS.
    A. Symmetric Property (=) B. Substitution Property (=)
    C. Distributive Property (=) D. Reflexive Property (=)
    Hint
  7.   For the proof shown, provide statement 5.
   
   
    A. AB = EF B. AB = DE
    C. BC = EF D. AC = DF
    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 was undefeated.
    C. The team finished 5th in their conference. D. The team played 19 games..
    Hint
  9.   What is a valid conclusion to the following hypothesis?
If there are two points...
    A. There are two lines containing both points.
    B. There are an infinite number of lines containing both points.
    C. There are no lines containing both points.
    D. There is one line containing both points.
    Hint
  10.   Which is an example of the Symmetric Property?
    A. If 2x = 12, then x = 6 B. If 0.2 = , then = 0.2
    C. 5(6 - 2) = 30 - 10 D. 2x = 2x
    Hint
  11.   For the proof shown, provide the reason for part b.
   
   
    A. Definition of a line B. Definition of Addition
    C. Definition of congruent segments D. Symmetric Property (=)
    Hint
  12.   If 1 and 2 form a linear pair and m1 = 2x + 16 and
m2 = 50x + 60, find m2.
    A. 80 B. 180
    C. 160 D. 20
    Hint
  13.   Two angles are congruent if they are ______.
    A. a linear pair B. vertical
    C. adjacent D. supplementary
    Hint
  14.   Construct a truth table for pq.
    A.
    B.
    C.
    D.
    Hint
  15.   A group of 7 people get together for a meeting. Before the meeting starts, they each shake hands with every person at the meeting. If a person only shakes hands with another person once, how many handshakes were there before the meeting began?
    A. 42 B. 21
    C. 15 D. 7
    Hint
  16.   If and lie in plane P. Which of the following postulates can be used to show that lies in plane P?
    A. Through any two points, there is exactly one line.
    B. If two points lie in a plane, then the entire line containing those points lies in that plane.
    C. If two planes intersect, then their intersection is a line.
    D. A plane contains at least three points not on the same line.
    Hint

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