Properties for Algebra Flashcards
Addition property
a=b and c=d then a+c=b+d
Subtraction Property
a=b and c=d then a-c=b-d
Multiplication Property
a=b then ca=cb
Division Property
a=b and c/=0 then a/c = b/c
Substitution Property
a=b then a and b can not be subtituted for other
Equality Reflexive Property
a=a
Equality Symmetric Property
a=b then b=a
Equality Transitive Property
a=b and b=c then a=c
Congruence Reflexive Property
line D congruent to line D then angle D congruent to angle D
Congruence Symmetric Property
line DE=line FG then line FG=line DE
angle D=angle E then angle E=angle D
Congruence Transitive Property
line DE=line FG and line FG=line JK then line DE=line JK
angle D=angle E and angle E=angle F then angle D=angle F
Distributive Property
a(b+c) = ab+ac
a=b and c=d then a+c=b+d
Addition Property
a=b and c=d then a-c=b-d
Subtraction Property
a=b then ca=cb
Multiplication Property
a=b and c/=0 then a/c = b/c
Division Property
a=b then a and b can not be subtituted for other
Substitution Property
a=a
Equality Reflexive Property
a=b then b=a
Equality Symmetric Property
a=b and b=c then a=c
Equality Transitive Property
line D congruent to line D then angle D congruent to angle D
Congruence Reflexive Property
line DE=line FG then line FG=line DE
angle D=angle E then angle E=angle D
Congruence Symmetry Property
line DE=line FG and line FG=line JK then line DE=line JK
angle D=angle E and angle E=angle F then angle D=angle F
Congruence Transitive Property
a(b+c) = ab+ac
Distributive Property
