Geometry chapter 2.5 - 2.6

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Distributive Property

4(a + b) = 4a + 4b

Reflexive property

AB = AB

Division Property

If 3x = 12, then x = 4

Transitive Property

If AB = XY and XY = MN, then AB = MN

Symmetric Property

If AB = XY, then XY = AB

Subtraction Property

If x + 6 = 13, then x = 7

Addition Property

If x - 10 = 7, then x = 17

Division Property

If x = 14, then x/2 = 7

Substitution Property

If x = 4 and 3x + 5 = 12, then 3(4) + 5 = 12

Multiplication Property

If x = 4, then 3x= 12

Addition Property

If x = 4, then x + 3 = 7

Subtraction Property

If x = 4, then x - 1 = 3

Substitution Property

If x = y and 2x + 3y = 12, then 2x + 3x = 12

Transitive Property

If x = y and y = z, then x = z

Symmetric Property

If x = y, then y = x

Multiplication Property

If x/3 = 10, then x = 30

Distributive Property

a(x + y) = ax + ay

hypothesis

part a a statement after the "if"

conclusion

part of a statement after the "then"

Deductive reasoning

process that uses facts, definitions, and accepted properties and laws of logic to make a a conjecture

Inductive reasoning

process that uses patterns and observation to make a conjecture

Reflexive property

y = y


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