1.   Which of the following is not one of the five essential parts needed to construct a good proof?
    A. Develop a system of inductive reasoning.
    B. If possible, draw a diagram to illustrate the given information.
    C. State the theorem to be proved.
    D. List the given information.
    Hint

  2.   What three things are accepted as true without verification or proof?
    A. definitions, theorems, and postulates B. conclusions, hypotheses, and postulates
    C. definitions, postulates, and undefined terms. D. theorems, postulates, and undefined terms
    Hint

  3.   In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear?
   
    A. Through any two points, there is exactly one line.
    B. Through any three points not on the same line, there is exactly one plane.
    C. If two lines intersect, then their intersection is exactly one point.
    D. If two planes intersect, then their intersection is a line.
    Hint

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

  5.   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. 7
    C. 15 D. 21
    Hint



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