1. 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. Definition of a Triangle B. Definition of an Inequality C. Triangle Inequality Theorem D. Triangle Equality Theorem Hint 2. 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 3. Refer to the figure. Which statement is never true? A. If is obtuse, then EG > EF. B. If DF = 20, FG = 13, and EG = 15, then EF = 11. C. If FG = 4, EGDE = 6, then EF < 18. D. If EG = 6, ED = 8, and then FG = DF. Hint 4. 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. 28 and 49 B. 31 and 67 C. 21 and 77 D. 10 and 60 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. 5 C. 4 D. 2 Hint