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Properties of Equality

Properties of Equality. Addition POE Subtraction POE Multiplication POE Division POE Reflexive POE Symmetric POE Transitive POE Substitution POE. Properties of Congruence. Reflexive property of congruence Symmetric property of congruence Transitive property of congruence.

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Properties of Equality

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  1. Properties of Equality • Addition POE • Subtraction POE • Multiplication POE • Division POE • Reflexive POE • Symmetric POE • Transitive POE • Substitution POE

  2. Properties of Congruence • Reflexive property of congruence • Symmetric property of congruence • Transitive property of congruence

  3. Helpful tips • Use definition only if measure of degree is used • Theorems are mathematical statements proven to be true • Definition states the meaning of a term or idea • Are reversible • Postulates statements are accepted to be true but are not formally proven. We normally use postulates to prove theorems.

  4. Theorems • If two angles are right angles then they are  • If two angles are straight angles then they are 

  5. Statements of Logic • Conditional statement If p then q mathematically written p  q ~ means “not “ Negation symbol Converse Inverse Contrapositive if q then p if ~p, then ~q if ~q then ~p In general converse is not necessarily true If the conditional statement is true then the contrapositive is true

  6. Chapter 1 we used • Vertical angles are congruent • Linear pair property (adjacent and form a straight angle

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