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Addition Property of Equality
x + 3 = 7 → x = 4
Subtraction Property of Equality
x + 5 = 12 → x = 7
Multiplication Property of Equality
5x = 20 → x = 4
Division Property of Equality
12 / 4 = 3 → x = 3
Reflexive Property
AB = AB
Symmetric Property
If ∠A ≅ ∠B, then ∠B ≅ ∠A
Transitive Property
If AB = CD and CD = EF, then AB = EF
Distributive Property
4(2x + 3) = 8x + 12
Simplify
3x + 2x = 5x
Definition of Midpoint
M is the midpoint of AB → AM = MB
Segment Addition Postulate
AB + BC = AC
Definition of Congruence
AB ≅ CD → AB = CD
Definition of Complementary Angles
∠A + ∠B = 90°
Definition of Supplementary Angles
∠X + ∠Y = 180°