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A quantity is congruent or equal to itself (a = a)
Reflexive Property
The quantities on either side of a congruence (equal) sign can be interchanged.
Symmetric Property
If x = 2,then 2 = x.
Example of Symmetric Property
If ∠1 ≅ ∠2,then ∠2 ≅ ∠1.
Example of Symmetric Property
If two quantities are congruent (equal) to the same quantity, they are congruent (equal) to each other.
Transitive Property
If 2 + 3 = 5 and 5 = 1 + 4,then 2 + 3 = 1 + 4.
Example of Transitive Property
If ∠1 ≅ ∠2, and ∠2 ≅ ∠3,then∠1 ≅ ∠3.
Example of Transitive Property
If m∠1 + m∠2 = 90 and ∠2 = ∠3, then m∠1 + m∠3 = 90.
Example of Substitution Property
1 = 1
Example of Reflexive Property
AB = AB
Example of Reflexive Property
m∠1 ≅ m∠1
Example of Reflexive Property
If AB = CD,then CD = AB.
Example of Symmetric Property
If a = b, and b = c, then a = c.
Transitive Property
Contains 3 terms
Transitive Property
If a = b,then a may be substituted for b.
Substitution Property
If x = 5 and 2x = 10,then 2(5) = 10.
Example of Substitution Property
A quantity may be substituted for its equal.
Substitution Property
Note 
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