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

  2.   Refer to the figure. If G is the midpoint of , which conjecture is true?
   
    A. None of the statements are true.
    B. is exactly 5 feet long.
    C. intersects at exactly two points.
    D.
    Hint

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

  4.   A ______________ is a diagram that can be used to illustrate a conditional.
    A. flow chart B. tree diagram
    C. bar graph D. Venn diagram
    Hint

  5.   Which statement shows the Transitive Property of Equality?
    A. If and
then
    B. If AB = CD and AB =EF, then
    C. If AB = CD, then CD = AB.
    D. If AB + BC = DE + BC, then AB = DE.
    Hint

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

  7.   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. B. is complementary to itself.
    C. D. is complementary to .
    Hint

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

  9.   What is the negation of the conclusion of the following conditional?
All birds can fly.
    A. It cannot fly. B. It can fly.
    C. It is not a bird. D. It is a bird
    Hint

  10.   Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square.
    A. WXYZ has four right angles.
    B. If WXYZ is not a square, then it has four right angles.
    C. If WXYZ is not a square, then it does not have four right angles.
    D. If WXYZ has four right angles, then it is a square.
    Hint

  11.   ''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. 1 and 2 are not congruent.
    B. Both1 and 2 are obtuse.
    C. 1 and 2 are congruent.
    D. 1 and 2 both have a measure of 45.
    Hint

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

  13.   Which statement is the inverse of the statement angles with the same measure are congruent?
    A. If two angles are not congruent, then they do not have the same measure.
    B. If two angles are congruent, then they have the same measure.
    C. If two angles have the same measure, then they are congruent.
    D. If two angles do not have the same measure, then they are not congruent.
    Hint

  14.   In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear?
   
    A. If two planes intersect, then their intersection is a line.
    B. Through any three points not on the same line, there is exactly one plane.
    C. If two lines intersect, then their intersection is exactly one point.
    D. Through any two points, there is exactly one line.
    Hint

  15.   If and lie in plane P. Which of the following postulates can be used to show that lies in plane P?
    A. If two points lie in a plane, then the entire line containing those points lies in that plane.
    B. A plane contains at least three points not on the same line.
    C. Through any two points, there is exactly one line.
    D. If two planes intersect, then their intersection is a line.
    Hint

  16.   Which postulate states that if B is between A and C, then AB + BC = AC?
    A. Whole Segment Postulate B. Segment Addition Postulate
    C. Ruler Postulate D. Addition Property of Congruence
    Hint



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