Geometry notes on Algebraic proofs Notes & HW | +Key!

Geometry: Algebraic Proofs Name: _________________________________ Date: _____________

In a Geometry two-column proof, every line of work needs to be supported by a specific reason.
Teacher-Led Example:
Given: 2x + 3x +8 = 18
Solve for x.
Statements: Reasons: Why???


1.

2.

3.

4.

Word Bank of Reasons
You might use a phrase more than once. You might not use all of the phrases for this problem.
 Addition Property of Equality  Subtraction Property of  Multiplication Property of
(POE) Equality (POE) Equality (POE)
 Division Property of Equality  Distribution Property  Combine Like Terms (CLT)
(POE)

Practice #1:
Given:
Statements: Reasons:
3x - 9 = 12

Solve for x. 1.

2.

3.

Practice #2:
Given:
Statements: Reasons:
5x - 3 = 12 - x

Solve for x. 1.

2.

3.

4.

Word Bank of Reasons
 Addition POE  Subtraction POE  Multiplication POE
 Division POE  Distribution Property  Combine Like Terms (CLT)