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1. |
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 |
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C. |
AB + CD = 12 |
D. |
None of the statements are valid conjectures. |
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Hint |
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2. |
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. |
The salesperson likes carnations. |
B. |
Jasmine will be excited to receive flowers for her birthday. |
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C. |
Daniel will buy Jasmine irises. |
D. |
More customers buy roses than carnations. |
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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. |
True; two answers are always more accurate than one answer. |
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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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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 finished 5th in their conference. |
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C. |
The team won their last 5 games. |
D. |
The team played 19 games.. |
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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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