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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 Conditional |
B. |
Law of Deductive Reasoning |
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C. |
Law of Syllogism |
D. |
Law of Detachment |
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Hint |
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2. |
The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________. |
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A. |
inductive reasoning |
B. |
reasonable doubt |
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C. |
deductive reasoning |
D. |
detachment reasoning |
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Hint |
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3. |
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. |
If an object is an equilateral, then it is a square. |
B. |
An object is a rhombus. |
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C. |
If an object is a square, then it is an equilateral. |
D. |
An object is a square. |
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Hint |
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4. |
''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. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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B. |
The sum of 8 and 24 must be odd. |
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C. |
The sum of 8 and 24 must be even. |
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D. |
If the numbers 8 and 24 are even, then their sum is 32. |
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Hint |
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5. |
Which statement follows from (1) and (2) by the Law of Syllogism? (1) If two angles form a linear pair, then they are supplementary. (2) If two angles are supplementary, then the sum of their measures is 180. |
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A. |
Supplementary angles form a linear pair. |
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B. |
The measures of supplementary angles add up to 180. |
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C. |
The sum of the measures of the angles in a linear pair is 180. |
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D. |
A linear pair is formed by supplementary angles. |
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Hint |
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