Geometry Intro to Algebraic Proofs

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

1

Name the property that is illustrated here.

Symmetric Property

Reflexive Property

Transitive Property

Distributive Property

1

Name the property that is illustrated here.

Symmetric Property

Reflexive Property

Transitive Property

Distributive Property

1

Name the property that is illustrated here.
if ∠X≅∠Y and ∠Y≅∠Z, then ∠X≅∠Z.

Symmetric Property

Reflexive Property

Transitive Property

Distributive Property

1

Name the property of equality illustrated here.

Addition Property of Equality

Subtraction Property of Equality

Division Property of Equality

Multiplication Property of Equality

1

Name the property that is illustrated here.

Symmetric Property

Reflexive Property

Transitive Property

Distributive Property

1

Use the Reflexive Property of Equality:  GH = _______ 

1

Use the Distributive Property:  If 2(x+5)=36, then _______ +_______ =36.

1

Symmetric Property:  If x = y, then _______ =_______ .

1

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

1

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.

Required

1

Name the property illustrated here.
∠R≅∠R

Symmetric Property

Reflexive Property

Transitive Property

Distributive Property

Required

1

Name the property illustrated here.
If AB≅CD and CD≅EF, then AB≅EF.

Symmetric Property

Reflexive Property

Transitive Property

Distributive Property

1

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

1

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

1

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

1

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

Required

1

Rate your understanding on use properties to prove algebraic equations true.

1-Beginning

2-Approaching

3-Mastery

4-Advanced (Completed the extension problems)

Geometry Intro to Algebraic Proofs

Name the property that is illustrated here.

Name the property that is illustrated here.

Name the property that is illustrated here.if ∠X≅∠Y and ∠Y≅∠Z, then ∠X≅∠Z.

Name the property of equality illustrated here.

Name the property that is illustrated here.

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

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

Name the property illustrated here.∠R≅∠R

Name the property illustrated here.If AB≅CD and CD≅EF, then AB≅EF.

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

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

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

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

Rate your understanding on use properties to prove algebraic equations true.

Name the property that is illustrated here.

Name the property that is illustrated here.

Name the property that is illustrated here.if ∠X≅∠Y and ∠Y≅∠Z, then ∠X≅∠Z.

Name the property of equality illustrated here.

Name the property that is illustrated here.

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

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

Name the property illustrated here.∠R≅∠R

Name the property illustrated here.If AB≅CD and CD≅EF, then AB≅EF.

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

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

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

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

Rate your understanding on use properties to prove algebraic equations true.

Name the property that is illustrated here.
if ∠X≅∠Y and ∠Y≅∠Z, then ∠X≅∠Z.

Name the property illustrated here.
∠R≅∠R

Name the property illustrated here.
If AB≅CD and CD≅EF, then AB≅EF.

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

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

Name the property that is illustrated here.
if ∠X≅∠Y and ∠Y≅∠Z, then ∠X≅∠Z.

Name the property illustrated here.
∠R≅∠R

Name the property illustrated here.
If AB≅CD and CD≅EF, then AB≅EF.

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

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