Properties and Postulates
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Created by:
freeslugs on October 18, 2009
Subjects:
math, math vocabulary, mathematics
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16 terms
Terms | 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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