1. | Which law states that if and are true conditionals, then is also true? | |||||

Law of Detachment | Law of Deductive Reasoning | |||||

Law of Syllogism | Law of Conditionals | |||||

Hint | ||||||

2. | 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. |
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no valid conclusion | ||||||

Hint | ||||||

3. | 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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If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180. | If two angles are supplementary, then the sum of the measures of the angles is 180. | |||||

If two adjacent angles form a linear pair, then the angles are supplementary. | If the sum of the measures of two angles is 180, then the angles form a linear pair. | |||||

Hint | ||||||

4. | 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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Ian will go to the football game if Sue goes. | Sue and Ian will not go to the football game. | |||||

The football game will not be played in the rain. | Sue and Ian will go to the football game. | |||||

Hint | ||||||

5. | The statements ''If Eric reads the book, he will be prepared for the exam'' and ''If Eric is prepared for the exam, he will get a passing grade'' are two conditionals. Use the Law of Syllogism to reach a logical conclusion. | |||||

If Eric gets a passing grade, then he did prepare for the exam. | no logical conclusion. | |||||

If Eric reads the book, then he will get a passing grade. | If Eric prepares for the exam, then he will read the book. | |||||

Hint | ||||||