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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. |
Triangle Inequality Theorem |
B. |
Triangle Equality Theorem |
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C. |
Definition of an Inequality |
D. |
Definition of a Triangle |
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Hint |
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2. |
Refer to the figure. Which statement is never true? |
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A. |
If is obtuse, then EG > EF. |
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B. |
If FG = 4, EGDE = 6, then EF < 18. |
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C. |
If DF = 20, FG = 13, and EG = 15, then EF = 11. |
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D. |
If EG = 6, ED = 8, and then FG = DF. |
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Hint |
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3. |
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. |
10 and 25 |
B. |
5 and 35 |
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C. |
15 and 20 |
D. |
10 and 35 |
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Hint |
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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? |
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A. |
31 and 67 |
B. |
28 and 49 |
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C. |
10 and 60 |
D. |
21 and 77 |
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Hint |
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5. |
Is it possible to draw a triangle with sides measuring 32, 96, and 118? Explain. |
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A. |
No; 32 is less than 96 + 118. |
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B. |
Yes; 96 is between 32 and 118. |
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C. |
Yes; the sum of the measures of any two sides is greater than the other side measure. |
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D. |
No; 32 + 96 is less than 118. |
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Hint |
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