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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. |
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A. |
Definition of a Triangle |
B. |
Triangle Equality Theorem |
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C. |
Definition of an Inequality |
D. |
Triangle Inequality Theorem |
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Hint |
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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? |
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A. |
2 and 5 |
B. |
2 and 4 |
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C. |
1 and 3 |
D. |
1 and 7 |
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Hint |
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3. |
Refer to the figure. Which statement is never true? |
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A. |
If FG = 4, EGDE = 6, then EF < 18. |
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B. |
If is obtuse, then EG > EF. |
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C. |
If EG = 6, ED = 8, and then FG = DF. |
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D. |
If DF = 20, FG = 13, and EG = 15, then EF = 11. |
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Hint |
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4. |
If 15 and 20 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall? |
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A. |
5 and 35 |
B. |
10 and 25 |
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C. |
10 and 35 |
D. |
15 and 20 |
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Hint |
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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? |
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A. |
3 |
B. |
4 |
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C. |
5 |
D. |
2 |
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Hint |
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