1.   Is it possible to draw a triangle with sides measuring 13, 21, and 39? Explain
    A. No; 13 is less than 21 + 39.
    B. No; 39 is greater than 13 + 21.
    C. Yes; the sides of the triangle are not all the same lengths.
    D. Yes; 13 + 21 is less than 39.
    Hint

  2.   Refer to the figure. Which statement is never true?
   
    A. If is obtuse, then EG > EF.
    B. If EG = 6, ED = 8, and then FG = DF.
    C. If FG = 4, EGDE = 6, then EF < 18.
    D. If DF = 20, FG = 13, and EG = 15, then EF = 11.
    Hint

  3.   If 28 and 49 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall?
    A. 10 and 60 B. 28 and 49
    C. 31 and 67 D. 21 and 77
    Hint

  4.   Is it possible to draw a triangle with sides measuring 32, 96, and 118? Explain.
    A. No; 32 is less than 96 + 118.
    B. Yes; 96 is between 32 and 118.
    C. Yes; the sum of the measures of any two sides is greater than the other side measure.
    D. No; 32 + 96 is less than 118.
    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. 3 B. 2
    C. 4 D. 5
    Hint