Properties Flashcards

1
Q

Subtraction POE

A

A-c=b-d

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2
Q

Multiplication POE

A

A•c=b•d

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3
Q

Division POE

A

A/c=b/d c or d does not = 0

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4
Q

Distributive P

A

X(y+z)= xy+xz

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5
Q

Reflective POE

A

A=A (equal to itself)

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6
Q

Reflexive POC (property of congruence)

A

A~A

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7
Q

Symmetric POE

A

If a=b then b=a

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8
Q

Symmetric POC

A

If A~B then B~A

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9
Q

Transitive POE

A

If a=b and b=c then a=c

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10
Q

Transitive POC

A

A~b and b~c then a~c

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11
Q

Substitution

Equality or congruence

A

If A+B=180 and B = 40, then A+40=180

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12
Q

Addition POE(property of equality)

A

A+c=b+d

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13
Q

Seg proof

Small to big

A

Given/reflexive
Addition
Seg + post
Substitution

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14
Q

Seg proof

Big to small

A

Seg + post
Substitution
Given/reflexive
Subtraction

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15
Q

Midpoint theorem

A

Multiplication
Midpoint theorem
Substitution

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16
Q

AB + BC = AC

A

Seg + post

17
Q

Midpoint = M, then AM = MB

A

Def of midpoint

18
Q

If BX bisects ABC, then ABX = XBC

A

Def of angle bisector

19
Q

If AB ~ CD, AB= CD

A

Def of congruence

20
Q

Biconditional

A

Using “if and only if”