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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 form on equilateral triangle. |
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B. |
A, B, and C are noncollinear. |
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C. |
A, B, and C are collinear. |
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D. |
A, B, and C form a right 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 = BD |
B. |
AB + CD = 12 |
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C. |
AB = CD |
D. |
None of the statements are valid conjectures. |
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Hint |
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3. |
Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music? |
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A. |
Her favorite station has changed their morning program to include country music. |
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B. |
All statements are valid conjectures. |
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C. |
Someone used her car during the weekend and changed the station. |
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D. |
A country music station bought out her favorite music station over the weekend. |
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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. |
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. |
False; the square root of 4 is 2 or -2. |
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Hint |
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5. |
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 won their last 5 games. |
B. |
The team played 19 games.. |
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C. |
The team finished 5th in their conference. |
D. |
The team was undefeated. |
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Hint |
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