2.5 Reasoning with Properties Flashcards
P.O.C.
property of congruence
P.O.E.
property of equality
addition POE
if a=b, then a+c=b+c
subtraction POE
if a=b then, a-c=b-c
multiplication POE
if a=b then ac=bc
division POE
if a=b and c does not equal 0, then a/c=b/c
reflexive POE
for any real number a, a=a
symmetric POE
if a=b, then b=a
transitive POE
if a=b and b=c, then a=c
substitution POE
if a=b! then A may be substituted for B in any equation or expression
reflexive POC
any geometric shape is congruent to itself
symmetric POC
if one geometry object is congruent to a second, then the second object is congruent to the first
transitive POC
if one geometric object is congruent to a second, and the second object if congruent to a thisprd, then the first object is congruent to the third object