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

  2.   In the figure, ABCD is a square. Which of the following is a valid conjecture about points A, B, C, and D?
   
    A. AB = BD B. AB + CD = 12
    C. AB = CD D. None of the statements are valid conjectures.
    Hint

  3.   Determine the converse of the following if-then statement.
If the flowers are yellow, then they are daffodils.
    A. If the flowers are not yellow, then they are not daffodils.
    B. The flowers are not daffodils.
    C. The flowers are not yellow.
    D. If the flowers are daffodils, then they are yellow.
    Hint

  4.   Determine the contrapositive of the following if-then statement.
If three points are noncollinear, then they form a triangle.
    A. If three points do not form a triangle, then they are noncollinear.
    B. If three points form a triangle, then they are noncollinear.
    C. If three points do not form a triangle, then they are not noncollinear.
    D. If three points are not noncollinear, then they do not form a triangle.
    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.   ''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion.
    A. If the numbers 8 and 24 are even, then their sum is 32.
    B. The sum of 8 and 24 must be odd.
    C. If the numbers 8 and 24 are odd, then their sum is 32.
    D. The sum of 8 and 24 must be even.
    Hint

  7.   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

  8.   Complete the proof.
   
   
    A. Addition Property (=) B. Substitution Property (=)
    C. Transitive Property D. Angle Addition Property
    Hint

  9.   If and form a linear pair and find
    A. 106 B. 76
    C. 86 D. 96
    Hint

  10.   If and are vertical angles and and find
   
    A. 23 B. 43
    C. 68 D. 72
    Hint

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

  12.   For the proof shown, provide statement 3.
   
   
    A. AB = CD B. AB = EF
    C. CD = EF D. AB = BA
    Hint

  13.   For the proof shown, provide the reason for part d.
   
   
    A. Symmetric Property (=) B. Definition of congruent segments
    C. Definition of Addition D. Definition of a line
    Hint

  14.   A __________ is a compound statement formed by joining two or more statements with the word and.
    A. truth value B. disjunction
    C. conjunction D. negation
    Hint

  15.   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 neither Spanish nor French?
   
    A. 7 B. 14
    C. 25 D. 1
    Hint

  16.   A _________ is a statement that describes a fundamental relationship between the basic terms of geometry and is accepted as true.
    A. proof B. theorem
    C. postulate D. definition
    Hint



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