## Properties and Postulates

##### Created by:

freeslugs  on October 18, 2009

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# Properties and Postulates

 PostulateA Statement who proof is accepted without proof
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#### Definitions

Postulate A Statement who proof is accepted without proof
Theorem A statement proved by deductive reasoning
Reflexive property of equality A quantity is equal to itself
Symmetric property of equality An equality may be expressed in either order
Transitive property of equality Quantities equal to the same quantity are equal to each other
Substitution Postulate A quantity may be substituted for it's equal in any statement of equality
Partition Postulate A whole is equal to the sum of all its parts
Addition Postulate If equal quantities are added to equal quantities, then the sums are equal
Segment Addition Postulate If congruent segments are added to congruent segments, then the sums are congruent
Angle Addition Postulate If congruent angles are added to congruent angles, then the sums are congruent
Subtraction Postulate If equal quantities are subtracted from equal quantities, then the differences are equal
Segment Subtraction Postulate If congruent segments are subtracted from congruent segments, then the differences are congruent
Angle Subtraction Postulate If congruent angles are subtracted from congruent angles, then the differences are congruent
Multiplication Postulate If equal quantities are multiplied by equal quantities, then the products are equal
Division Postulate if equal quatities are divided by nonzero equal quantities the quotients are equal
Powers Postulate the squares of equal quantities are equal

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