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1. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
a conjecture |
B. |
inductive reasoning |
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C. |
guessing |
D. |
deductive reasoning |
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Hint |
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2. |
Make a conjecture based on the following information. For points A, B, and C, AB = 2, BC = 3, and AC = 4. |
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A. |
A, B, and C are collinear. |
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B. |
A, B, and C form a right triangle. |
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C. |
A, B, and C form on equilateral triangle. |
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D. |
A, B, and C are noncollinear. |
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Hint |
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3. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
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A. |
False; the square root of a positive number is always a positive number. |
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B. |
False; the square root of 4 is 2 or -2. |
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C. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
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D. |
True; two answers are always more accurate than one answer. |
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Hint |
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4. |
A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information? |
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A. |
The team was undefeated. |
B. |
The team played 19 games.. |
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C. |
The team won their last 5 games. |
D. |
The team finished 5th in their conference. |
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Hint |
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5. |
To show that a conjecture is false, you need to provide one _____. |
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A. |
theorem |
B. |
possibility |
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C. |
counterexample |
D. |
guess |
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Hint |
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