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

  2.   In the figure, bisects at V. Find the measure of if VZ=4a+3 and VW=15-2a.
   
    A. 28 B. 24
    C. 12 D. 22
    Hint

  3.   If bisects which angle is congruent to
   
    A. B.
    C. D.
    Hint

  4.   Which angle forms a linear pair with
   
    A. B.
    C. D.
    Hint

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

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

  7.   The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________.
    A. inductive reasoning B. reasonable doubt
    C. deductive reasoning D. detachment reasoning
    Hint

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

  9.   For the proof shown, provide the reason for part c.
   
   
    A. Division Property of Equality B. Subtraction Property of Equality
    C. Multiplication Property of Equality D. Addition Property of Equality
    Hint

  10.   If , and what is the measure of
   
    A. 108 B. 76
    C. 72 D. 180
    Hint

  11.   The Parallel Postulate states, ''If there is a line and a point not on the line, then there exists _______________ line through the point that is parallel to the given line.''
    A. infinitely many B. more than one
    C. no D. exactly one
    Hint

  12.   Find XY on the number line shown.
   
    A. -7 B. 4
    C. 0 D. 7
    Hint

  13.   If bisects which angle is congruent to
   
    A. B.
    C. D.
    Hint

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

  15.   What three properties hold true for congruence of segments?
    A. reflexive, symmetric, and substitution
    B. reflexive, multiplication, and division
    C. addition, subtraction, and multiplication
    D. reflexive, symmetric, and transitive
    Hint

  16.   Two angles are congruent if they are ______.
    A. a linear pair B. supplementary
    C. vertical D. adjacent
    Hint

  17.   Determine the slope of the line parallel to the line shown.
   
    A. -1 B. 1
    C. 0 D.
    Hint

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

  19.   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. perpendicular B. drawn
    C. parallel D. between
    Hint

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



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