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Geometry

Geometry. 2.6 Algebraic Proofs. Algebraic proof- proof made up of a series of algebraic statements Two-column Proof/Formal Proof- contains statements and reasons organized in two columns. Properties of Real Numbers. Addition: If a=b, then a+c = a+b Subtraction: If a=b, then a-c=b-c

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Geometry

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  1. Geometry 2.6 Algebraic Proofs

  2. Algebraic proof- proof made up of a series of algebraic statements • Two-column Proof/Formal Proof- contains statements and reasons organized in two columns

  3. Properties of Real Numbers • Addition: If a=b, then a+c=a+b • Subtraction: If a=b, then a-c=b-c • Multiplication: If a=b, then aXc=bXc • Division: If a=b, then a/c=b/c. • Substitution: If a=b, then a and b are interchangeable in any equation or expression. • Distributive: a(b+c)=ab+ac

  4. Geometric Proof- proof combining rules of geometry and algebra

  5. More Properties • Reflexive: a=a (anything always is equal to itself) • Symmetric: If a=b, then b=a. (you can always flip an equation around) • Transitive: If a=b and b=c, then a=c (two things equal to the same thing must be equal to each other.

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