Properties of Equality

Addition PoE

If a=b, then a+c=b+c

Subtraction PoE

If a=b, then a-c=b-c

Multiplication PoE

If a=b, then ac=bc

Division PoE

If a=b, then a/c=b/c

Distributive PoE

If c(a+b), then ca+cb

Reflective PoE

If a=a, then a=a

Symmetric PoE

If a=b, then b=a

Transitive PoE

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

Substitution PoE

If a=b and c=b, then a=c (plug something in)

Reflective PoC

If a≅a, then a≅a

Symmetric PoC

If a≅b, then b≅a

Transitive PoC

If a≅b and b≅c, the a≅c

Property of Equality

Problem is with =

Property of Congruence

Problem is with ≅

Segment Addition Postulate

ab+bc=ac

Angle Addition Postulate

m