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postulate

statement of fact assumed without proof

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thereom

statement of fact proved to be true

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reflexive property

any quantity is equal to itself

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symmetrical property

a quantity can have reversed order

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transitive property

if two quantities are equal to the same quantity then they are equal to each other

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substitution postulate

any quantity can be replaced by its equal in any expression

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partition postulate

the whole amount is equal to the sum of its parts

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addition postulate

if equal quantities are added to equal quantities, their sums are equal

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subtraction postulate

if equal quantities are subtracted from equal quantities, their differences are equal

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inverse

negate the hypothesis & conclusion

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converse

switch the order

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contrapositive

switch the order and negate the statement

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median

line segment drawn from a vertex to the midpoint of the opposite side

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altitude

line segment drawn from a vertex perpindicular to the opposite side

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angle bisector

line segment drawn from a vertex so that is bisects the angle from where its drawn

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