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Geometry Notes Sections 2-6 Solve the following equation: m – 17 = 8 Solve the following equation: y 12 14 6 Solve the following equation: -6x + 33 = 0 Solve the following equation: 3(x - 2) = 42 What you should learn How to use algebra to write two-column proofs How to use properties of equality in geometry proofs Vocabulary Deductive argument Two-column proof Formal poof Properties of Equality for Real Numbers You can add/subtract the same Addition/Subtraction Properties of Equality value from both sides of an equation You can multiply/divide both Multiplication/Division sides of an equation by the Properties of Equality same value Substitution Property of Equality You can replace one thing with another of EQUAL value a(b + c) = ab + ac AND Distributive Property ab + ac = a(b + c) Properties of Equality for Real Numbers Reflexive Property of Equality Symmetric Property of Equality Transitive Property of Equality A number is equal to itself. a=a You can switch the left and right sides of an equation If a = b then b = a If a = b and b = c then a = c Have you learned .. . . How to use algebra to write two-column proofs? How to use properties of equality in geometry proofs? Assignment: Worksheet 2.6