1.   Refer to the figure. If G is the midpoint of , which conjecture is true?
   
    A.
    B. intersects at exactly two points.
    C. None of the statements are true.
    D. is exactly 5 feet long.
    Hint
  2.   Determine the converse of the following if-then statement.
If the flowers are yellow, then they are daffodils.
    A. The flowers are not yellow.
    B. The flowers are not daffodils.
    C. If the flowers are daffodils, then they are yellow.
    D. If the flowers are not yellow, then they are not daffodils.
    Hint
  3.   A ______________ is a diagram that can be used to illustrate a conditional.
    A. bar graph B. flow chart
    C. Venn diagram D. tree diagram
    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. detachment reasoning
    C. reasonable doubt D. deductive reasoning
    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. An object is a rhombus. B. If an object is a square, then it is an equilateral.
    C. An object is a square. D. If an object is an equilateral, then it is a square.
    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. Reflexive Property (=) D. Distributive 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 was undefeated. B. The team won their last 5 games.
    C. The team played 19 games.. D. The team finished 5th in their conference.
    Hint
  9.   What is a valid conclusion to the following hypothesis?
If there are two points...
    A. There is one line containing both points.
    B. There are an infinite number of lines containing both points.
    C. There are no lines containing both points.
    D. There are two lines containing both points.
    Hint
  10.   Which is an example of the Symmetric Property?
    A. 5(6 - 2) = 30 - 10 B. 2x = 2x
    C. If 2x = 12, then x = 6 D. If 0.2 = , then = 0.2
    Hint
  11.   For the proof shown, provide the reason for part b.
   
   
    A. Definition of a line B. Definition of congruent segments
    C. Symmetric Property (=) D. Definition of Addition
    Hint
  12.   If 1 and 2 form a linear pair and m1 = 2x + 16 and
m2 = 50x + 60, find m2.
    A. 20 B. 180
    C. 80 D. 160
    Hint
  13.   Two angles are congruent if they are ______.
    A. supplementary B. adjacent
    C. a linear pair D. vertical
    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. 7 B. 42
    C. 21 D. 15
    Hint
  16.   If and lie in plane P. Which of the following postulates can be used to show that lies in plane P?
    A. A plane contains at least three points not on the same line.
    B. If two planes intersect, then their intersection is a line.
    C. If two points lie in a plane, then the entire line containing those points lies in that plane.
    D. Through any two points, there is exactly one line.
    Hint

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