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)