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postulate

statement of fact assumed without proof

thereom

statement of fact proved to be true

reflexive property

any quantity is equal to itself

symmetrical property

a quantity can have reversed order

transitive property

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

substitution postulate

any quantity can be replaced by its equal in any expression

partition postulate

the whole amount is equal to the sum of its parts

addition postulate

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

subtraction postulate

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

inverse

negate the hypothesis & conclusion

converse

switch the order

contrapositive

switch the order and negate the statement

median

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

altitude

line segment drawn from a vertex perpindicular to the opposite side

angle bisector

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