Geometry chapter 2.5 - 2.6
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