1. | The process of using facts, rules, definitions, or properties in logical order to reach a conclusion is called | |||||

detachment reasoning | deductive reasoning | |||||

inductive reasoning | conjecturing | |||||

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

Law of Syllogism | Law of Detachment | |||||

Law of Conditionals | Law of Deductive Reasoning | |||||

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

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

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

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

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

Hint | ||||||