Ch 2-5 Reasoning in Geometry and Algebra 9-18-15.

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Presentation transcript:

Ch 2-5 Reasoning in Geometry and Algebra

Review these properties and state them in your own words

Addition property If two values are the same, and the same value is added to both, they will remain equal. If x=3, then x+4=3+4

Subtraction Property If two values are the same and you subtract the same amount from both, they will remain the same. If x=7 then x-4=7-4

Multiplication Property

Division property

Reflexive property

Symmetric Property If a=b then b=a This allows us to work in any order around the equal sign

Transitive property (syllogism) If A=B and B=C then A=C. If two things are equal to the same thing, then they are equal

Substitution Property

Distributive property

Properties of congruence Because equal and congruent have similar meanings, the properties of equality of numbers, can be easily applied as properties of congruent shapes.

Let’s try