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Glencoe Geometry - Chapter 1 Definitions

AB
ReflexivePropertyFor every number a, a = a.
SymmetricPropertyFor all numbers a & b, if a = b, then b = a.(ex. the segment GH = segment HG)
TransitivePropertyFor all numbers a, b & c, if a = b & b = c, then a = c. (A bit like the law of syllogism)
Add/Subtract PropertyFor all numbers a, b, & c, if a = b, then a + c = b + c and a - c = b - c.(ex. 1 ft = 12 inches, 1 ft + 3 inches = 12 in ches+ 3 inches)
Mult/Division PropertyFor all numbers a, b, and c, if a = b, then a * c = b * c, and if c not equal to zero, a ÷ c = b ÷ c.(ex. 1 m = 1000 mm, 1 m * 5 = 1000 mm * 5, 5 m = 5000 mm)
SubstitutionPropertyFor all numbers a & b, if a = b, then a may be replaced by b in any equation or expression.
DistributivePropertyFor all numbers a, b, & c, a(b + c) = ab + ac.
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Washington County Public Schools
Abingdon, VA

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