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**Unformatted text preview: **Algebraic Proof
Section 2-6 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 c ≠ 0
then a = b
c ≠ 0, then c c ab
=
cc • 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. • Distributive Property:
a(b + c) = ab + ac Properties of Congruence
• Reflexive Property: DE ≅ DE
• Symmetric Property:
If DE ≅ FG, then FG ≅ DE
• Transitive Property: If ∠A ≅ ∠B and ∠B ≅ ∠C ,
then ∠A ≅ ∠C. Joke Time
What do you get if you cross a
dentist and a boat?
The tooth ferry! What happened to the frog’s car
when the parking meter
expired?
It got toad away! ...

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