1.   Looking at several specific situations to arrive at an educated guess is called __________.
    A. inductive reasoning B. deductive reasoning
    C. a conjecture D. guessing
    Hint

  2.   Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music?
    A. All statements are valid conjectures.
    B. Her favorite station has changed their morning program to include country music.
    C. A country music station bought out her favorite music station over the weekend.
    D. Someone used her car during the weekend and changed the station.
    Hint

  3.   Determine the contrapositive of the following if-then statement.
If three points are noncollinear, then they form a triangle.
    A. If three points form a triangle, then they are noncollinear.
    B. If three points do not form a triangle, then they are not noncollinear.
    C. If three points are not noncollinear, then they do not form a triangle.
    D. If three points do not form a triangle, then they are noncollinear.
    Hint

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

  5.   Which statement shows the Transitive Property of Equality?
    A. If AB + BC = DE + BC, then AB = DE.
    B. If AB = CD and AB =EF, then
    C. If and
then
    D. If AB = CD, then CD = AB.
    Hint

  6.   Justify step 2 in solving
   
    A. Distributive Property (=) B. Multiplication Property (=)
    C. Subtraction Property (=) D. Division Property (=)
    Hint

  7.   Which statement explains why
   
    A. Angles complementary to the same angle or to congruent angles are congruent.
    B. All right angles are congruent.
    C. Angles adjacent to the same angle or to congruent angles are congruent.
    D. Vertical angles are congruent.
    Hint

  8.   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. is complementary to .
    C. D.
    Hint

  9.   In order to find the contrapositive of a conditional, you must first find the _____ and then find the _____ of each part.
    A. converse, negation B. hypothesis, converse
    C. converse, inverse D. inverse, negation
    Hint

  10.   ''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 are congruent.
    B. 1 and 2 both have a measure of 45.
    C. 1 and 2 are not congruent.
    D. Both1 and 2 are obtuse.
    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.   What three properties hold true for congruence of segments?
    A. reflexive, symmetric, and substitution
    B. reflexive, symmetric, and transitive
    C. reflexive, multiplication, and division
    D. addition, subtraction, and multiplication
    Hint

  13.   Write a truth table for pq.
    A. B.
    C. D.
    Hint

  14.   The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied both Spanish and French?
   
    A. 40 B. 1
    C. 55 D. 15
    Hint

  15.   Determine the number of line segments that can be drawn connecting pairs of points shown.
   
    A. 6 B. 10
    C. 4 D. 8
    Hint

  16.   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. 15 B. 7
    C. 42 D. 21
    Hint



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