Math: Properties of Equality

What are the algebraic properties of equality?

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

a=b 
a- c= b-c

a=b
ac=bc

a=b
a/c=b/c

Any real number is what?

_                              _
AB (congruent sign) AB

a=a

What property can you switch the two sides of an equation?

<A=m<B then m<B=m<A

a=b
b=a

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

If AB=BC and BC=AC then AB=AC

If two things are equal to the same thing they are equal to each other

This property says that if two things are equal then one may be substituted in place of the other

x=y
6x=10
6y=10

AB=15
then AB + 5= 20

m<K =20 and m<J=m<K + m<L
then m<J = 20= m<L

if AB+CD=JK then JK=AB+CD

If XY=MR and MR=CD then XY=CD