1.   A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true.
    A. postulate B. proof
    C. definition D. theorem
    Hint

  2.   Identify the hypothesis of the following if-then statement.
If Ralph does his math homework, then he will get a good grade on the quiz.
    A. He will get a good grade on the quiz.
    B. He will not get a good grade on the quiz.
    C. Ralph may do his math homework.
    D. Ralph does his math homework.
    Hint

  3.   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. reasonable doubt
    C. detachment reasoning D. deductive reasoning
    Hint

  4.   For the proof shown, provide the reason for part c.
   
   
    A. Multiplication Property of Equality B. Subtraction Property of Equality
    C. Division Property of Equality D. Addition Property of Equality
    Hint

  5.   Which of the following means that the distance between two lines measured along a perpendicular line to the line is always the same?
    A. equilibrate B. equivalent
    C. equilateral D. equidistant
    Hint

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

  7.   In a triangle, the ratio of the measures of the sides is 2:3:4 and the perimeter is 72. Find the measures of the sides of the triangle.
    A. 16, 24, 32 B. 20, 22, 30
    C. 14, 21, 28 D. 18, 27, 27
    Hint

  8.   In the figure, ________.
   
    A. B.
    C. D.
    Hint

  9.   Find XY on the number line shown.
   
    A. 7 B. 4
    C. 0 D. -7
    Hint

  10.   Find x if Q is the midpoint of PQ = 19, and PR = 8x + 14.
    A. 3 B. 7
    C. 14 D.
    Hint

  11.   If two angles form a linear pair, they are _______.
    A. vertical B. congruent
    C. supplementary D. complementary
    Hint

  12.   To show that a conjecture is false, you need to provide one _____.
    A. guess B. possibility
    C. theorem D. counterexample
    Hint

  13.   Which pair of triangles is congruent by the SAS Postulate?
    A. B.
    C. D.
    Hint

  14.   Refer to the figure. If is perpendicular to both and , and , then ABG ________ by _________.
   
    A. FEG by AAS B. EFG by AAS
    C. EFG by ASA D. FEG by ASA
    Hint

  15.   The measures of the diagonals of an isosceles trapezoid are 3x + 7 and 5x - 11, respectively. Find the value of x.
    A. 3 B. 5
    C. 7 D. 9
    Hint

  16.   Sierpinski's Triangle is not _________.
    A. the same as Pascal's Triangle B. self-similar
    C. a fractal D. strictly self-similar
    Hint

  17.   In ABC, mA = 45, a = 9, and c = 11. Find mC to the nearest tenth.
    A. 30.2 B. 54.7
    C. 59.8 D. 35.3
    Hint

  18.   State the assumption that could be used to start an indirect proof of the statement If 2n < 6, then n < 3.
    A. n > 3 B. n = 3
    C. n < 3 D. n3
    Hint

  19.   ARCHITECTURE The observation deck of the John Hancock Center is 1030 feet above the ground. The Skydeck of the Sears Tower is 1335 feet above the ground. The John Hancock Center is 1.7 miles from the Sears Tower. What is the angle of elevation of someone standing on the observation deck of the John Hancock Center looking up to the Skydeck of the Sears Tower?
    A. 1.9° B. 6.5°
    C. 37.7° D. 8.5°
    Hint

  20.   Find the sum of the measures of the interior angles of a regular 16-gon.
    A. 2880 B. 3240
    C. 2520 D. 2848
    Hint



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