1.   Which statement follows from statements (1) and (2) by the Law of Syllogism?

(1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral.

    A. An object is a square. B. If an object is a square, then it is an equilateral.
    C. If an object is an equilateral, then it is a square. D. An object is a rhombus.
    Hint
  2.   Most residential roofs are made of roof trusses. A diagram of a roof truss is shown. Notice that it is triangular in shape. Name the corresponding sides.
   
    A. , ,
    B. , ,
    C. , ,
    D. , ,
    Hint
  3.   In is the _____.
   
    A. altitude B. median
    C. all of these D. perpendicular bisector
    Hint
  4.   Which problem-solving strategy is used in indirect proofs?
    A. working backward B. guess and check
    C. decision-making D. draw a diagram
    Hint
  5.   The _______________ states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
    A. Triangle Equality Theorem B. Definition of a Triangle
    C. Triangle Inequality Theorem D. Definition of an Inequality
    Hint
  6.   Refer to the figure. Which statement is never true?
   
    A. If FG = 4, EGDE = 6, then EF < 18.
    B. If EG = 6, ED = 8, and then FG = DF.
    C. If DF = 20, FG = 13, and EG = 15, then EF = 11.
    D. If is obtuse, then EG > EF.
    Hint
  7.   Find the value of y to the nearest tenth.
   
    A. 31.0 B. 36.9
    C. 59.0 D. 53.1
    Hint
  8.   Which is an equation of the line with x-intercept 2 and y-intercept -4?
    A. B. y = -2x - 4
    C. y = 2x - 4 D.
    Hint
  9.   Which figure has a point of symmetry?
    A. B.
    C. D.
    Hint
  10.   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 no lines containing both points.
    C. There are an infinite number of lines containing both points.
    D. There are two lines containing both points.
    Hint
  11.   The distance from a line to a point not on the line is the length of the segment _____ to the line from the point.
    A. drawn B. parallel
    C. between D. perpendicular
    Hint
  12.   Which of the following points is on the circle with equation
(x - 7)2 + (y + 3)2 = 25?
    A. (10, 1) B. (5, -6)
    C. (17, 12) D. (-8, -23)
    Hint
  13.   Find the measure of .
   
    A. 140° B. 75°
    C. 29° D. 110°
    Hint
  14.   If A (-2, -3) is reflected over the y-axis, what are the new coordinates of A' ?
    A. (-2, 3) B. (2, -3)
    C. (-2, -3) D. (2, 3)
    Hint
  15.   If two lines intersect so that the angle of rotation equals 98°, what is the angle formed by the intersecting lines?
    A. 196° B. 98°
    C. 82° D. 49°
    Hint
  16.   A dilation with center C and a scale factor of k maps L to M and P to Q. If LP = 12 and MQ = 10, find |k|.
    A. -2 B.
    C. D.
    Hint
  17.   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
  18.   Which of the following statements is not a postulate?
    A. If two lines intersect, then their intersection is exactly one point.
    B. A plane contains at least three points not on the same line.
    C. Through any two points, there is exactly one line.
    D. Points that lie of the same plane are said to be coplanar.
    Hint
  19.   If and form a linear pair and m = 72, find m.
   
    A. 18 B. 72
    C. 108 D. 144
    Hint
  20.   State the assumption that could be used to start an indirect proof of the statement If 2n < 6, then n < 3.
    A. n3 B. n > 3
    C. n < 3 D. n = 3
    Hint

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