Geometry Notes

Sections 2-6

Solve the following equation:

m – 17 = 8

Solve the following equation:

14126

y

Solve the following equation:

-6x + 33 = 0

Solve the following equation:

3(x - 2) = 42

What you should learn

How to use algebra to write two-column proofs

How to use properties of equality in geometry proofs

Vocabulary

Deductive argument Two-column proof Formal poof

Properties of Equality for Real Numbers

Addition/SubtractionProperties of Equality

Multiplication/DivisionProperties of Equality

SubstitutionProperty of Equality

Distributive Property

You can add/subtract the same value from both sides of an equation

You can multiply/divide both sides of an equation by the same value

You can replace one thing with another of EQUAL value

a(b + c) = ab + ac AND

ab + ac = a(b + c)

Properties of Equality for Real Numbers

Reflexive Property of Equality

Symmetric Propertyof Equality

Transitive Propertyof Equality

A number is equal to itself.

a = a

You can switch the left and right sides of an equation

If a = b then b = a

If a = b and b = c

then a = c

Have you learned .. . .

How to use algebra to write two-column proofs?

How to use properties of equality in geometry proofs?

Assignment: Worksheet 2.6