Algebraic Proof

1
Algebraic Proof

• Section 2-6

2
Properties of Equality

• Addition Property If a b and c d, then a
  c b d.
• Subtraction Property If a b and c d, then a
  c b d.
• Multiplication Property If a b, then ca cb.
• Division Property If a b and
  then

3

• Substitution Property If a b, then either a
  or b may be substituted for the other in any
  equation or inequality.
• Reflexive Property a a
• Symmetric Property If a b, then b a
• Transitive Property If a b and b c,
  then a c.

4

• Distributive Property
• a(b c) ab ac

5
Properties of Congruence

• Reflexive Property
• Symmetric Property
• Transitive Property

6
Joke Time

• What do you get if you cross a dentist and a
  boat?
• The tooth ferry!

7

• What happened to the frogs car when the parking
  meter expired?
• It got toad away!