1 7 Additional Practice Writing Proofs

Question: Division Property of Equality

Answer: if a = b, then a/c = b/c

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Question: Multiplication Property of Equality

Answer: if a = b, then a x c = b x c

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Question: Addition Property of Equality

Answer: if a = b, then a + c = b + c

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Question: Subtraction Property of Equality

Answer: if a = b, then a - c = b - c

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Question: Associative Property

Answer: a + (b + c) = (a + b) + c or a(bc) = (ab)c

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Question: Transitive Property

Answer: If a = b and b = c, then a = c

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Question: Commutative Property

Answer: a + b = b + a

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Question: Distributive Property

Answer: a(b + c) = ab + ac

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Question: Substitution Property

Answer: if a = b, then b can be substituted for a and a can be substituted for b.

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Question: Theorem

Answer: a proven conjecture

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Question: Proof

Answer: a convincing argument using deductive reasoning

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Question: Supplementary angles

Answer: the sum of the angles is 180 degrees

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Question: Complementary angles

Answer: the sum of the angles is 90 degrees

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Question: Linear Pairs

Answer: is a pair of adjacent, supplementary angles or supplementary angles on the same line with a common ray as one of their sides.

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