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## 2.6 Algebraic Proof

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**1. **2.6 Algebraic Proof

**2. **Prop’s of Equality 1. Reflexive (reflex)
Hint
2. Symmetric (symm)
Hint
3. Transitive (trans)
Hint

**5. **Example – Name the prop used: If 3x = 120 ? x = 40.
If 12 = AB ? AB = 12.
If AB = BC & BC = CD ? AB = CD.
If y = 75 & y = m<A ? m<A = 75.

**6. **Paragraph Proof (review) – informal proof in form of paragraph that uses facts to justify each step2-Column Proof – formal proof in which 2 columns are needed: 1. statements 2. reasons

**7. **Parts of 2-Column Proof Given: ~~~~~~~
Prove: ~~~~~~~

**8. **Example 6-2a

**9. **Example 6-2c

**10. **Example 6-2e

**11. **Example 6-4b

**12. **Example 6-4c

**13. **Assignment 2.6 p. 97 (14-25 all, 26-32 even, 38-42 even, 48-52 even)