Algebraic and Geometric Properties for Proofs

symmetric property of equality (switch sides)

If <A=<b then <b=<a

Transitive Property of Equality (2 things= the same thing)

If line segment LM = line segment OP and line segment OP = line segment QR, then line segment LM= line segment QR

Reflexive Property of equality (something=itself)

Line HB = Line HB

Substitution Property of Equality (Replace)

4r+8 when r=8 >> 4(8)+8

Subtraction Property of Equality

4x+9=2 >> 4x+9-9=2-9

Simplify

5x-6-10x >> -5x-6

Distributive Properties

3(x-10) >> 3x-30

Addition property of equality

3x-8=14 >> 3x-8+8=14+8

Division Property of Equality

-5x=20 >> -5x/5= 20/5

Multiplication Property of Equality

x/4=9 >> (4)x/4=9(4)