Properties from Algebra

Geometry

Chapter 02

A BowerPoint Presentation

Addition Property (Add Prop)

If a = b

Then a + c = b + c

(If x – 8 = 12, then x = 20)

Subtraction Property(Subtract Prop)

If a = b

Then a - c = b - c

(If x + 3 = 7, then x = 4)

Multiplication Property(Mult Prop)

If a = b

Then a • c = b • c

(If x = 6, then x = 30) 5

Division Property(Division Prop)

If a = b(and c = 0)

Then a = b c c

(If 8x = 40, then x = 5)

Reflexive Property

a = a

Symmetric Property

If a = b

Then b = a

Transitive Property

If a = b AND b = c

Then a = c

(If GH = MN & MN = XY, then GH = XY)

Substitution

If a + b = c AND a = x

Then x + b = c

(You can plug = stuff in)

Distributive Property

If a(b + c)

Then a • b + a • c

[If 3(4x + 8), then 12x + 24]