1.   A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true.
    A. theorem B. proof
    C. definition D. postulate
    Hint

  2.   Name a point on the exterior of
   
    A. point G B. point E
    C. point D D. point C
    Hint

  3.   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 noncollinear.
    B. A, B, and C form on equilateral triangle.
    C. A, B, and C form a right triangle.
    D. A, B, and C are collinear.
    Hint

  4.   Write the inverse of the conditional ''If Deanna eats the last cookie, then Leon will buy more.''
    A. If Deanna does not eat the last cookie, then Leon will not buy more.
    B. If Deanna eats the last cookie, then Leon will not buy more.
    C. If Deanna does not eat the last cookie, then Leon will buy more.
    D. If Leon does not buy more, then Deanna did not eat the last cookie.
    Hint

  5.   Which law states that if a conditional is true and its hypothesis is true, then the conclusion is true?
    A. Law of Detachment B. Law of Deductive Reasoning
    C. Law of Syllogism D. Law of Conditional
    Hint

  6.   For the proof shown, provide statement 5.
   
   
    A. AB = DE B. BC = EF
    C. AB = EF D. AC = DF
    Hint

  7.   Which graph shows a line with an undefined slope?
    A. B.
    C. D.
    Hint

  8.   Which of the following means that the distance between two lines measured along a perpendicular line to the line is always the same?
    A. equidistant B. equivalent
    C. equilibrate D. equilateral
    Hint

  9.   Which is an equation of the line with slope and passing through the point at (1, 2)?
    A. y = 2x + 1 B.
    C. D.
    Hint

  10.   Which is an equation of the line passing through points at (1, 6)
and (-2, 1)?
    A. B. y = 2x + 5
    C. y = x + 5 D.
    Hint

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

  12.   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. Assume what you are trying to prove is true.
    D. List the given information.
    Hint

  13.   If 34, which lines must be parallel?
   
    A. a and b B. d and e
    C. a and d D. a and c
    Hint

  14.   The distance from a line to a point not on the line is the length of the segment _____ to the line from the point.
    A. parallel B. between
    C. perpendicular D. drawn
    Hint

  15.   Find the distance from R(-7, 8) to the line with the equation y = 5.
    A. -3 B. 5
    C. 11 D. 3
    Hint

  16.   The distance between two parallel lines is the distance between one of the lines and _____ .
    A. any point farther than the other line B. any point on the other line
    C. any point not on the line D. the other line
    Hint

  17.   Write the equation of the line parallel to that passes through the point (6,-1).
    A.
    B.
    C.
    D.
    Hint

  18.   Write the equation of the line that has an x-intercept of –6 and a y-intercept of 3.
    A.
    B.
    C.
    D.
    Hint

  19.   If DF = 15 and DE = 6, find EF if E is between D and F
    A. 6 B. 12
    C. 9 D. 21
    Hint

  20.   Find the perimeter of a regular pentagon with a side measure of 57 centimeters.
    A. 228 cm B. 649 cm
    C. 342 cm D. 285 cm
    Hint



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