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

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

  3.   Which segment represents the distance from N to ?
   
    A. B.
    C. D.
    Hint

  4.   Triangle KMS is equilateral. Find KM if KM = x + 6, KS = 2x – 3, and MS = 4x – 21.
    A. 15 B. 21
    C. 9 D. 4
    Hint

  5.   Name the remote interior angles of
   
    A. B.
    C. D.
    Hint

  6.   by the _______________.
   
    A. SSS Postulate B. ASA Postulate
    C. SSA Postulate D. SAS Postulate
    Hint

  7.   Order the steps for writing an indirect proof.
   
    A. 2, 3, 1 B. 3, 2, 1
    C. 2, 1, 3 D. 1, 2, 3
    Hint

  8.   If , which relationship is true?
   
    A.
    B.
    C.
    D.
    Hint

  9.   How many planes appear on the figure shown?
   
    A. 8 B. 7
    C. 5 D. 6
    Hint

  10.   Find mMOP if mMON = 4x + 9 and mMOP = 3x - 3.
   
    A. 12 B. 33
    C. 57 D. 45
    Hint

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

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

  13.   Which figure is an obtuse triangle?
    A. B.
    C. D.
    Hint

  14.   If mA > mB > mC, what is a possible measure for ?
   
    A. 13 mm B. 20 mm
    C. 10 mm D. 32 mm
    Hint

  15.   If 15 and 20 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall?
    A. 15 and 20 B. 5 and 35
    C. 10 and 25 D. 10 and 35
    Hint

  16.   Ed has a piece of rope with exactly 10 knots tied to make 9 equal lengths as shown. Using the rope, he wants to use the entire rope to make a triangle so that each vertex of the triangle occurs at a knot. How many different triangles can Ed make?
   
    A. 2 B. 5
    C. 3 D. 4
    Hint

  17.   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 both Spanish and French?
   
    A. 1 B. 55
    C. 15 D. 40
    Hint

  18.   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. 1 B. 7
    C. 14 D. 25
    Hint

  19.   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. Through any three points not on the same line, there is exactly one plane.
    B. If two planes intersect, then their intersection is a line.
    C. If two lines intersect, then their intersection is exactly one point.
    D. Through any two points, there is exactly one line.
    Hint

  20.   Find the coordinates of O.
   
    A. (0, 3a) B. (0, 3Ka)
    C. (3a, 0) D. (a, 0)
    Hint



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