Download Addition/subtraction property of equality. If ab = , then acbc

Properties from Algebra:
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Addition/subtraction property of equality.
If a = b , then a + c = b + c . (add the same thing to both sides).
If a = b and c = d , then a + c = b + d . (add equals to both sides).
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Multiplication/division property of equality.
If a = b , then ac = bc . (multiply both sides by the same/equal thing.)
a b
If a = b , then = (divide both sides by the same/equal thing.)
c c
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Distributive property.
a (b + c) = ab + ac
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Substitution
If a + b = c and a = d , then d + b = c . (replace d for a)
If a + b = z and x + y = z , then a + b = x + y . (two expressions equal to same thing)
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Transitive
If a = b and b = c , then a = c . (for equality)
If a ≅ b and b ≅ c , then a ≅ c . (for congruence)
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Reflexive
a=a
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Symmetric
a = b and b = a .
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