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1. |
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 noncollinear. |
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B. |
A, B, and C form a right triangle. |
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C. |
A, B, and C are collinear. |
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D. |
A, B, and C form on equilateral triangle. |
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Hint |
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2. |
In the figure, ABCD is a square. Which of the following is a valid conjecture about points A, B, C, and D? |
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A. |
AB = CD |
B. |
None of the statements are valid conjectures. |
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C. |
AB = BD |
D. |
AB + CD = 12 |
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Hint |
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3. |
Refer to the figure. If G is the midpoint of  , which conjecture is true? |
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A. |
is exactly 5 feet long. |
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B. |
None of the statements are true. |
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C. |
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D. |
 intersects  at exactly two points. |
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Hint |
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4. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
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A. |
True; two answers are always more accurate than one answer. |
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B. |
False; the square root of a positive number is always a positive number. |
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C. |
False; the square root of 4 is 2 or -2. |
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D. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
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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. |
counterexample |
B. |
guess |
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C. |
theorem |
D. |
possibility |
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Hint |
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