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1. |
Which law states that if  and  are true conditionals, then  is also true? |
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A. |
Law of Deductive Reasoning |
B. |
Law of Conditionals |
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C. |
Law of Syllogism |
D. |
Law of Detachment |
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Hint |
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2. |
The ______ states that if is a true conditional and p is true, then q is true. |
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A. |
Law of Conditionals |
B. |
Law of Syllogism |
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C. |
Law of Deductive Reasoning |
D. |
Law of Detachment |
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Hint |
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3. |
Which statement follows from statements (1) and (2) by the Law of Detachment? (1) If a triangle is an obtuse triangle, then the measure of one of the angles is greater than 90 but less than 180.
(2)  is an obtuse triangle. |
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A. |
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B. |
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C. |
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D. |
no valid conclusion |
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Hint |
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4. |
Which statement follows from statements (1) and (2) by the Law of Syllogism?
(1) If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180.
(2) If the sum of the measures of two angles is 180, then the angles are supplementary. |
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A. |
If two angles are supplementary, then the sum of the measures of the angles is 180. |
B. |
If two adjacent angles form a linear pair, then the angles are supplementary. |
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C. |
If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180. |
D. |
If the sum of the measures of two angles is 180, then the angles form a linear pair. |
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Hint |
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5. |
If it is raining, then Sue and Ian will not go to the football game is a true conditional, and it is raining. Use the Law of Detachment to reach a logical conclusion. |
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A. |
Ian will go to the football game if Sue goes. |
B. |
Sue and Ian will not go to the football game. |
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C. |
The football game will not be played in the rain. |
D. |
Sue and Ian will go to the football game. |
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Hint |
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