2.5 Reasoning with Properties Flashcards

0
Q

P.O.C.

A

property of congruence

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1
Q

P.O.E.

A

property of equality

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2
Q

addition POE

A

if a=b, then a+c=b+c

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3
Q

subtraction POE

A

if a=b then, a-c=b-c

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4
Q

multiplication POE

A

if a=b then ac=bc

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5
Q

division POE

A

if a=b and c does not equal 0, then a/c=b/c

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6
Q

reflexive POE

A

for any real number a, a=a

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7
Q

symmetric POE

A

if a=b, then b=a

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8
Q

transitive POE

A

if a=b and b=c, then a=c

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9
Q

substitution POE

A

if a=b! then A may be substituted for B in any equation or expression

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10
Q

reflexive POC

A

any geometric shape is congruent to itself

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11
Q

symmetric POC

A

if one geometry object is congruent to a second, then the second object is congruent to the first

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12
Q

transitive POC

A

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

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