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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 are collinear. |
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C. |
A, B, and C form on equilateral triangle. |
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D. |
A, B, and C form a right triangle. |
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Hint |
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2. |
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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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. |
 intersects  at exactly two points. |
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C. |
None of the statements are true. |
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D. |
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Hint |
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4. |
Daniel wants to send Jasmine flowers for her birthday. At the flower store, he can choose between roses, irises, or carnations. The salesperson tells Daniel that 50% of the customers buy roses, 30% buy carnations, and 20% buy irises. Which of the following is a valid conjecture? |
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A. |
Jasmine will be excited to receive flowers for her birthday. |
B. |
Daniel will buy Jasmine irises. |
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C. |
More customers buy roses than carnations. |
D. |
The salesperson likes carnations. |
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Hint |
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5. |
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; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
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B. |
True; two answers are always more accurate than one answer. |
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C. |
False; the square root of a positive number is always 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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