1.   If the measures of two sides of a triangle are 3 and 1, between what two numbers must the measure of the third side fall?
    A. 1 and 3 B. 1 and 7
    C. 2 and 5 D. 2 and 4
    Hint

  2.   The segment that has one endpoint at one of the vertices of a triangle and its other endpoint on a line containing the opposite side of the triangle, and is perpendicular to the opposite side of the triangle, is called the __________.
    A. perpendicular bisector B. altitude
    C. median D. angle bisector
    Hint

  3.   a > b means that ___________.
    A. a = b + c, for some positive number c
    B. a + b = 0
    C. a b
    D. a + c = b, for some positive number c
    Hint

  4.   In the triangle shown, which angle has the greatest measure?
   
    A. none of them; they all have an equal angle measure B. A
    C. C D. B
    Hint

  5.   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. 5 B. 3
    C. 2 D. 4
    Hint

  6.   is a median of PRS. Which statement is true?
   
    A. mQTS > mQTP B.
    C. PTR and STR are complementary. D. mQTS < mQTP
    Hint

  7.   What is the relationship between AM and BM?
   
    A. AM = BM B. It cannot be determined with the information given.
    C. AM > BM D. AM < BM
    Hint

  8.   The __________ is the point of concurrency of the angle bisectors of a triangle.
    A. centroid B. incenter
    C. orthocenter D. circumcenter
    Hint

  9.   What is another name for an indirect proof?
    A. default proof B. proof by contradiction
    C. paragraph proof D. proof by assumption
    Hint

  10.   Which assumption would you make to start an indirect proof of the following statement? The majority of students surveyed preferred chocolate ice cream to vanilla ice cream.
    A. The number of students surveyed that preferred vanilla ice cream to chocolate ice cream was greater than 25%.
    B. The number of students surveyed that preferred chocolate ice cream to vanilla ice cream was greater than 50%.
    C. The number of students surveyed that preferred chocolate ice cream to vanilla ice cream was greater than 25%.
    D. The number of students surveyed that preferred vanilla ice cream to chocolate ice cream was greater than 50%.
    Hint



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