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1. |
Which law states that if a conditional is true and its hypothesis is true, then the conclusion is true? |
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A. |
Law of Deductive Reasoning |
B. |
Law of Conditional |
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C. |
Law of Detachment |
D. |
Law of Syllogism |
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Hint |
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2. |
Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral. |
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A. |
An object is a rhombus. |
B. |
An object is a square. |
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C. |
If an object is a square, then it is an equilateral. |
D. |
If an object is an equilateral, then it is a square. |
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Hint |
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3. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
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A. |
The sum of 8 and 24 must be even. |
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B. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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C. |
If the numbers 8 and 24 are even, then their sum is 32. |
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D. |
The sum of 8 and 24 must be odd. |
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Hint |
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4. |
Find the number of different segments formed by 8 collinear points. |
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A. |
28 |
B. |
27 |
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C. |
36 |
D. |
21 |
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Hint |
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5. |
Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square. |
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A. |
WXYZ has four right angles. |
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B. |
If WXYZ has four right angles, then it is a square. |
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C. |
If WXYZ is not a square, then it does not have four right angles. |
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D. |
If WXYZ is not a square, then it has four right angles. |
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Hint |
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