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

  2.   Which of the following is not one of the five essential parts needed to construct a good proof?
    A. List the given information.
    B. State the theorem to be proved.
    C. If possible, draw a diagram to illustrate the given information.
    D. Assume what you are trying to prove is true.
    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. If two planes intersect, then their intersection is a line.
    B. Through any three points not on the same line, there is exactly one plane.
    C. Through any two points, there is exactly one line.
    D. If two lines intersect, then their intersection is exactly one point.
    Hint

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

  5.   If and lie in plane P. Which of the following postulates can be used to show that lies in plane P?
    A. If two planes intersect, then their intersection is a line.
    B. Through any two points, there is exactly one line.
    C. A plane contains at least three points not on the same line.
    D. If two points lie in a plane, then the entire line containing those points lies in that plane.
    Hint



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