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Geometry Intro to Algebraic Proofs

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17 questions
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Introduce algebraic proofs and properties needed for geometric proofs.


Proof: Use logic, facts and deductions to prove a statement true.
Reflexive Property: a=a
Symmetric Property: If a=b, then b=a. (Switch the order around the equal sign)
Transitive Property: If a=b and b=c, then a=c. (Comparing three values)
Addition and Subtraction Properties: Add or Subtract to both sides of the equation
Multiplication and Division Properties: Multiply or Divide both sides of the equation
Substitution Property: If a=b, then a may be replaced in a equation with b.
Distributive Property: a(b+c) = ab + ac
Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.
Use the Reflexive Property of Equality: GH = _______
Question 7
7.
Use the Distributive Property: If 2(x+5)=36, then _______ +_______ =36.
Question 8
8.
Symmetric Property: If x = y, then _______ =_______ .
Question 9
9.

Solve this equation and create a statement and reason table to justify each step. Use your Algebraic Properties Notes!

Question 10
10.

Solve this equation and create a statement and reason table to justify each step. Use your Algebraic Properties Notes!

Answers are posted in Google Classroom, please check your work so far. Then complete the following exit ticket problems.
Question 11
11.

Question 12
12.

Question 13
13.

Solve this equation and create a statement and reason table to justify each step. Use your Algebraic Properties Notes!

Question 14
14.

Solve this equation and create a statement and reason table to justify each step. Use your Algebraic Properties Notes!

Question 15
15.

EXTENSION: Write your proof for the following equation:
Solve for y.

Question 16
16.

EXTENSION: Write your proof for the following equation:
Solve for r in the formula for Circumference.

Question 17
17.

Name the property that is illustrated here.

Symmetric Property
Reflexive Property
Transitive Property
Distributive Property
Name the property that is illustrated here.

Symmetric Property
Reflexive Property
Transitive Property
Distributive Property
Name the property that is illustrated here.
if ∠X≅∠Y and ∠Y≅∠Z, then ∠X≅∠Z.
Symmetric Property
Reflexive Property
Transitive Property
Distributive Property
Name the property of equality illustrated here.

Addition Property of Equality
Subtraction Property of Equality
Division Property of Equality
Multiplication Property of Equality
Name the property that is illustrated here.

Symmetric Property
Reflexive Property
Transitive Property
Distributive Property
Name the property illustrated here.
∠R≅∠R
Symmetric Property
Reflexive Property
Transitive Property
Distributive Property
Name the property illustrated here.
If AB≅CD and CD≅EF, then AB≅EF.
Symmetric Property
Reflexive Property
Transitive Property
Distributive Property
Rate your understanding on use properties to prove algebraic equations true.
1-Beginning
2-Approaching
3-Mastery
4-Advanced (Completed the extension problems)