1.   Looking at several specific situations to arrive at an educated guess is called __________.
    A. a conjecture B. deductive reasoning
    C. guessing D. inductive reasoning
    Hint
  2.   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 are not noncollinear, then they do not form a triangle.
    C. If three points form a triangle, then they are noncollinear.
    D. If three points do not form a triangle, then they are not noncollinear.
    Hint
  3.   A ______________ is a diagram that can be used to illustrate a conditional.
    A. tree diagram B. Venn diagram
    C. bar graph D. flow chart
    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. detachment reasoning
    C. deductive reasoning D. reasonable doubt
    Hint
  5.   In the figure shown, is complementary to and is complementary to . Which statement is true if none of the measures of the angles equal 45?
   
    A. is complementary to itself. B. is complementary to .
    C. D.
    Hint
  6.   If and are vertical angles and and find
   
    A. 68 B. 72
    C. 23 D. 43
    Hint
  7.   What three things are accepted as true without verification or proof?
    A. conclusions, hypotheses, and postulates B. definitions, postulates, and undefined terms.
    C. definitions, theorems, and postulates D. theorems, postulates, and undefined terms
    Hint
  8.   Make a conjecture based on the following information. M is obtuse.
    A. M is straight B. mM is not 180
    C. M is acute D. mM = 30
    Hint
  9.   What is a valid conclusion to the following hypothesis?
If there are two points...
    A. There is one line containing both points.
    B. There are two lines containing both points.
    C. There are an infinite number of lines containing both points.
    D. There are no lines containing both points.
    Hint
  10.   ''If two angles are vertical, then they are congruent.'' is a true conditional, and 1 and 2 are vertical. Which is not true based on the Law of Detachment?
    A. Both1 and 2 are obtuse.
    B. 1 and 2 are congruent.
    C. 1 and 2 are not congruent.
    D. 1 and 2 both have a measure of 45.
    Hint
  11.   The starting point of a proof is the _____ of the conditional and the end is the _____ of the conditional.
    A. hypothesis, conclusion B. statement, reason
    C. conclusion, hypothesis D. conjecture, justification
    Hint
  12.   Name the property that justifies the statement.

''If 2x = 12, then x = 6''.
    A. Division Property (=) B. Transitive Property (=)
    C. Multiplication Property (=) D. Symmetric Property
    Hint
  13.   For the proof shown, provide the reason for part d.
   
   
    A. Definition of Addition B. Symmetric Property (=)
    C. Definition of congruent segments D. Definition of a line
    Hint
  14.   What three properties hold true for congruence of segments?
    A. reflexive, multiplication, and division
    B. reflexive, symmetric, and transitive
    C. reflexive, symmetric, and substitution
    D. addition, subtraction, and multiplication
    Hint
  15.   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
  16.   If and lie in plane P. Which of the following postulates can be used to show that lies in plane P?
    A. A plane contains at least three points not on the same line.
    B. If two planes intersect, then their intersection is a line.
    C. Through any two points, there is exactly one line.
    D. If two points lie in a plane, then the entire line containing those points lies in that plane.
    Hint

Glencoe
The McGraw-Hill Companies