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# 3_5 notes - Take the opposite of the statement Not p...

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Ch 3 sections 4, 5, and 7 Two-Column Proofs Two-column proof a proof format that contains statements and reasons arranged in two columns. Example 1 Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it. Statements Reasons 1. 2. 3. 4. 5. Vertical Angle Theorem:

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Checking key concepts page 132 3. 4. Notation Description Example Conditional p   q using the given hypothesis and conclusion If two angles are vertical angles, then they are congruent. Converse q   p exchanging the hypothesis and conclusion If two angles are congruent, then they are vertical angles. Negation ~ p
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Unformatted text preview: Take the opposite of the statement Not p Inverse ∼ p → ∼ q replacing the hypothesis with its negation and replacing the conclusion with its negation If two angles are not vertical angles, then they are not congruent. Contrapositive ∼ q → ∼ p negating the hypothesis, negating the If two angles are not conclusion, and switching them congruent, then they are not vertical angles. CKC page 138 1. If the official language is English , then you are in Guyana. 2. If you are in Peru, then the official language is Quechua. 3. If you are in Brazil, then the official language is Portuguese. 4. 5a. b....
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3_5 notes - Take the opposite of the statement Not p...

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