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Chapter 2 Section 4 Reasoning in Algebra

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Properties of Equality Addition Property of Equality If, then. Example: ADD 5 to both sides! Subtraction Property of Equality If, then. Example: SUBTRACT 3 from both sides!

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Properties of Equality (cont.) Multiplication Property of Equality If, then Example: MULTIPLY both sides by 2! Division Property of Equality If and, then Example:DIVIDE both sides 3!

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Properties of Equality (cont.) Reflexive Property of Equality A value is equal to itself Symmetric Property of Equality If, then Example: If, then Transitive Property of Equality If and, then

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Properties of Equality (cont.) Substitution Property If, then can replace in any expression. Example: If then 2 can replace in an expression such as Distributive Property

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You can justify each statement with a postulate, property, or definition. Solve for, justify each step. Given: A OC B Angle Addition Postulate Substitution Simplify Subtraction Property of Equality Division Property of Equality

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K N M L StatementsReasons Given Definition of bisect Substitution Subtraction Property of Equality Division Property of Equality Symmetric Property of Equality

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We can use Segment Addition Postulate to justify statements about segment lengths ACB Solve for y, justify each step. Given: AC=21 StatementsReasons Segment Addition Postulate Substitution Simplify Addition Property of Equality Division Property of Equality

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Properties of Congruence Reflexive Property of Congruence B A D C A B R V U T S

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Properties of Congruence Symmetric Property of Congruence Transitive Property of Congruence

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Name the property of Equality or Congruence that justifies each statement ________________________ _______________________ __________________ Reflexive property of Congruence Addition property of Equality Transitive property of Congruence Symmetric property of Equality

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