1. Geometry Notes Sections 2-6

2. Solve the following equation: m – 17 = 8

3. Solve the following equation:

4. -6x + 33 = 0

5. Solve the following equation: 3(x - 2) = 42

6. What you should learn How to use algebra to write two-column proofs How to use properties of equality in geometry proofs

7. Vocabulary Deductive argument Two-column proof Formal poof

8. Properties of Equality for Real Numbers Addition/Subtraction Properties of Equality Multiplication/Division Properties of Equality Substitution Property of Equality Distributive Property You can add/subtract the same value from both sides of an equation You can multiply/divide both sides of an equation by the same value You can replace one thing with another of EQUAL value a(b + c) = ab + ac AND ab + ac = a(b + c)

9. 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

10. 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