1.   Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music?
    A. Someone used her car during the weekend and changed the station.
    B. All statements are valid conjectures.
    C. A country music station bought out her favorite music station over the weekend.
    D. Her favorite station has changed their morning program to include country music.
    Hint
  2.   If-then statements are also called ______________.
    A. reasons B. hypotheses
    C. conclusions D. conditionals
    Hint
  3.   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 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 not buy more.
    D. If Leon does not buy more, then Deanna did not eat the last cookie.
    Hint
  4.   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. deductive reasoning
    C. reasonable doubt D. detachment reasoning
    Hint
  5.   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 square. B. If an object is an equilateral, then it is a square.
    C. If an object is a square, then it is an equilateral. D. An object is a rhombus.
    Hint
  6.   Which statement shows the Transitive Property of Equality?
    A. If AB = CD and AB =EF, then
    B. If and
then
    C. If AB + BC = DE + BC, then AB = DE.
    D. If AB = CD, then CD = AB.
    Hint
  7.   Complete the proof.
   
   
    A. Angle Addition Property B. Substitution Property (=)
    C. Transitive Property D. Addition Property (=)
    Hint
  8.   If and are vertical angles and and find
   
    A. 72 B. 23
    C. 43 D. 68
    Hint
  9.   What three things are accepted as true without verification or proof?
    A. theorems, postulates, and undefined terms B. conclusions, hypotheses, and postulates
    C. definitions, theorems, and postulates D. definitions, postulates, and undefined terms.
    Hint
  10.   Make a conjecture based on the following information. M is obtuse.
    A. mM is not 180 B. mM = 30
    C. M is straight D. M is acute
    Hint
  11.   For the proof shown, provide statement 3.
   
   
    A. AB = BA B. CD = EF
    C. AB = EF D. AB = CD
    Hint
  12.   If 1 and 2 form a linear pair and m1 = 2x + 16 and
m2 = 50x + 60, find m2.
    A. 160 B. 80
    C. 180 D. 20
    Hint
  13.   A __________ is a compound statement formed by joining two or more statements with the word and.
    A. truth value B. negation
    C. conjunction D. disjunction
    Hint
  14.   The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied Spanish or French?
   
    A. 25 B. 63
    C. 56 D. 55
    Hint
  15.   Determine the number of line segments that can be drawn connecting pairs of points shown.
   
    A. 6 B. 10
    C. 8 D. 4
    Hint
  16.   The statement if , then demonstrates which property of congruence?
    A. Identity Property B. Transitive Property
    C. Reflexive Property D. Symmetric Property
    Hint

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