1.   Make a conjecture based on the following information. For points A, B, and C, AB = 2, BC = 3, and AC = 4.
    A. A, B, and C are collinear.
    B. A, B, and C form a right triangle.
    C. A, B, and C form on equilateral triangle.
    D. A, B, and C are noncollinear.
    Hint
  2.   Identify the hypothesis of the following if-then statement.
If Ralph does his math homework, then he will get a good grade on the quiz.
    A. He will not get a good grade on the quiz.
    B. He will get a good grade on the quiz.
    C. Ralph may do his math homework.
    D. Ralph does his math homework.
    Hint
  3.   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. An object is a square.
    C. If an object is an equilateral, then it is a square. D. If an object is a square, then it is an equilateral.
    Hint
  4.   Find the number of different segments formed by 8 collinear points.
    A. 27 B. 21
    C. 36 D. 28
    Hint
  5.   Which property of equality justifies the statement
if x – 2 = 9, then x = 11?
    A. Multiplication Property of Equality B. Transitive Property of Equality
    C. Addition Property of Equality D. Symmetric Property of Equality
    Hint
  6.   Which of the following is not one of the five essential parts needed to construct a good proof?
    A. If possible, draw a diagram to illustrate the given information.
    B. State the theorem to be proved.
    C. List the given information.
    D. Develop a system of inductive reasoning.
    Hint
  7.   For the proof shown, provide statement 2.
   
   
    A. AB = BC, DE = EF B. AB = DE
    C. AC = DF, BC = EF D. AC = DE, AB = DF
    Hint
  8.   Which statement explains why
   
    A. Vertical angles are congruent.
    B. All right angles are congruent.
    C. Angles complementary to the same angle or to congruent angles are congruent.
    D. Angles adjacent to the same angle or to congruent angles are congruent.
    Hint
  9.   Make a conjecture based on the following information. M is obtuse.
    A. M is acute B. mM = 30
    C. mM is not 180 D. M is straight
    Hint
  10.   What is the negation of the conclusion of the following conditional?
All birds can fly.
    A. It cannot fly. B. It is not a bird.
    C. It can fly. D. It is a bird
    Hint
  11.   Which is an example of the Symmetric Property?
    A. If 0.2 = , then = 0.2 B. If 2x = 12, then x = 6
    C. 2x = 2x D. 5(6 - 2) = 30 - 10
    Hint
  12.   For the proof shown, provide the reason for part b.
   
   
    A. Definition of a line B. Symmetric Property (=)
    C. Definition of congruent segments D. Definition of Addition
    Hint
  13.   Write a truth table for pq.
    A. B.
    C. D.
    Hint
  14.   Which statement is the inverse of the statement angles with the same measure are congruent?
    A. If two angles are congruent, then they have the same measure.
    B. If two angles have the same measure, then they are congruent.
    C. If two angles are not congruent, then they do not have the same measure.
    D. If two angles do not have the same measure, then they are not congruent.
    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. 15 B. 21
    C. 42 D. 7
    Hint
  16.   If and form a linear pair and m = 72, find m.
   
    A. 144 B. 108
    C. 72 D. 18
    Hint

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