Properties Flashcards
(20 cards)
Subtraction POE
A-c=b-d
Multiplication POE
A•c=b•d
Division POE
A/c=b/d c or d does not = 0
Distributive P
X(y+z)= xy+xz
Reflective POE
A=A (equal to itself)
Reflexive POC (property of congruence)
A~A
Symmetric POE
If a=b then b=a
Symmetric POC
If A~B then B~A
Transitive POE
If a=b and b=c then a=c
Transitive POC
A~b and b~c then a~c
Substitution
Equality or congruence
If A+B=180 and B = 40, then A+40=180
Addition POE(property of equality)
A+c=b+d
Seg proof
Small to big
Given/reflexive
Addition
Seg + post
Substitution
Seg proof
Big to small
Seg + post
Substitution
Given/reflexive
Subtraction
Midpoint theorem
Multiplication
Midpoint theorem
Substitution
AB + BC = AC
Seg + post
Midpoint = M, then AM = MB
Def of midpoint
If BX bisects ABC, then ABX = XBC
Def of angle bisector
If AB ~ CD, AB= CD
Def of congruence
Biconditional
Using “if and only if”
