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partition postulate
a whole is equal to the sum of its parts (congruency also follows)
Reflexive postualate
A quantity is equal to itself
Symetric property
a quantity may be expressed in either order
if a=b then b=a
transitive property
quantites equal to the same quantity are equal to each other
think chain rule
substitution postulate
a qunatity may be substitued for its equal in any statement of equality
addition postulate
if a=b and c=d, the a+c = b+d
substitution postulate
if a=b and c=d, then a-c = b-d