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2-4 Reasoning in Algebra

2-4 Reasoning in Algebra. Ex. 1 Justifying Steps. 1 . angle addition post. 2. substitution 3. simplify 4 . subtraction prop of = 5. division prop of =. Solve for x and justify 1. m<AOB + m<BOC = m<AOC 2. x + 2x + 10 = 139 3. 3x + 10 = 139 4. 3x = 129 5. x = 43. Ex. 1 Cont.

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2-4 Reasoning in Algebra

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  1. 2-4 Reasoning in Algebra

  2. Ex. 1 Justifying Steps 1. angle addition post. 2. substitution 3. simplify 4. subtraction prop of = 5. division prop of = • Solve for x and justify • 1. m<AOB + m<BOC = m<AOC • 2. x + 2x + 10 = 139 • 3. 3x + 10 = 139 • 4. 3x = 129 • 5. x = 43

  3. Ex. 1 Cont. • Your practice • Given : LM bisects <KLN • 1. LM bisects <KLN • 2. m<MLN = m<KLM • 3. 4x = 2x + 40 • 4. 2x = 40 • 5. X = 20 • 1. Given • 2. Definition of angle bisector • 3. Substitution • 4. Subt. Prop. Of = • 5. Div. Prop. Of =

  4. Ex. 2 Still Practice Justifying • Given: AC = 21 • 1. AB + BC = AC • 2. 2y + (3y – 9) = 21 • 3. 5y – 9 = 21 • 4. 5y = 30 • y = 6 • 1. Given • 2. Substitution • 3. Simplify • 4. Add. Prop. Of = • 5. Div. Prop. Of =

  5. Ex. 3 Using Prop. Of = and • <K <K • If 2x – 8 = 10, then 2x = 18 • If RS TW and TW PQ, then RS PQ. • If m<A = m<B, then m<B = m<A • Reflexive Prop of • Add. Prop of = • Trans. Prop of • Symm. Prop of =

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