Algebraic Properties of Equality
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9 Terms
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APOE
If a = b, then a + c = b + c
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SPOE
If a = b, then a - c = b - c
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MPOE
If a = b, then a ⋅ c = b ⋅ c
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DPOE
If a = b and c ≠ 0, then a/c = b/c
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Distributive Property
a(b + c) = ab + ac
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Substitution Property
If a = b, then "a" can be substituted for "b" in any equation or expression
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Reflexive Property
For any real number "a", a = a
For any segment "AB", AB = AB
For any angle "A", m∠A = m∠A
For any segment "AB", AB = AB
For any angle "A", m∠A = m∠A
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Symmetric Property
If a = b, then b = a
If AB = CD, then CD = AB
If m∠G = m∠H, then m∠H = m∠G
If AB = CD, then CD = AB
If m∠G = m∠H, then m∠H = m∠G
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Transitive Property
If a = b and b = c, then a = c
If AB = CD and CD = EF, then AB = EF
If m∠G = m∠H and m∠H = m∠I, then m∠G = m∠I
If AB = CD and CD = EF, then AB = EF
If m∠G = m∠H and m∠H = m∠I, then m∠G = m∠I