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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