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1. |
Which problem-solving strategy is used in indirect proofs? |
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A. |
working backward |
B. |
decision-making |
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C. |
draw a diagram |
D. |
guess and check |
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Hint |
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2. |
State the assumption that could be used to start an indirect proof of the statement If 2n < 6, then n < 3. |
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A. |
n = 3 |
B. |
n < 3 |
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C. |
n > 3 |
D. |
n 3 |
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Hint |
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3. |
State the assumption that could be used to start an indirect proof of the statement Points A, B, C, and O are coplanar. |
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A. |
Points A, B, C, and O are collinear. |
B. |
Points A, B, C, and O form a quadrilateral. |
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C. |
Points A, B, C, and O are not coplanar. |
D. |
Points A, B, C, and O are coplanar. |
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Hint |
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4. |
State the assumption that could be used to start an indirect proof of the statement AB + BC > DE. |
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A. |
AB + BC DE |
B. |
AB + BCDE |
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C. |
AB + BC < DE |
D. |
AB + BC = DE |
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Hint |
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5. |
Which assumption would you make to start an indirect proof of the following statement? The majority of students surveyed preferred chocolate ice cream to vanilla ice cream. |
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A. |
The number of students surveyed that preferred chocolate ice cream to vanilla ice cream was greater than 25%. |
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B. |
The number of students surveyed that preferred vanilla ice cream to chocolate ice cream was greater than 25%. |
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C. |
The number of students surveyed that preferred vanilla ice cream to chocolate ice cream was greater than 50%. |
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D. |
The number of students surveyed that preferred chocolate ice cream to vanilla ice cream was greater than 50%. |
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Hint |
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