a statement whose truth is accepted without proof
the squares of equal quantities are equal
is a valid arguement that establishes the truth of a statement
reflexive property of equality
a quantity is equal to itself
a quantity may be substituted for its equal in any statement of equality
if equal quantities are subtracted from equal quantities the differences are equal
symmetric property of equality
an equality may be expressed in either order
a statement that is proved by deductive reasoning
transitive property of equality
quantities equal to the same quantity are equal to each other
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