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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 Equality Theorem |
B. |
Triangle Inequality Theorem |
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C. |
Definition of a Triangle |
D. |
Definition of an Inequality |
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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. |
1 and 3 |
B. |
1 and 7 |
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C. |
2 and 5 |
D. |
2 and 4 |
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Hint |
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3. |
Which of the following could not be a triangle? |
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A. |
7, 11, 3 |
B. |
7, 28, 22 |
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C. |
15, 18, 8 |
D. |
9, 9, 9 |
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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. |
10 and 60 |
B. |
31 and 67 |
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C. |
28 and 49 |
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. |
Yes; the sum of the measures of any two sides is greater than the other side measure. |
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B. |
No; 32 + 96 is less than 118. |
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C. |
Yes; 96 is between 32 and 118. |
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D. |
No; 32 is less than 96 + 118. |
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Hint |
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