Intro to Algebraic Proofs

• Transitive Property of Congruence

• Symmetric Property of Congruence

• Symmetric Property of Equality

• Transitive Property of Equality

• Segment Addition Postulate

• Addition Property of Equality

• Subtraction Property of Equality

• Transitive Property of Equality

• Segment Addition Postulate

• Addition Property of Equality

• Transitive Property of Equality

• Subtraction Property of Equality

If AB=BC and BC=CE, then AB=CE

• Transitive property

• Multiplication of equality

• Reflective property of equality

• Distributive property of equality

What is reason 5?

• Transitive Property

• Reflexive Property

• Symmetric Property

• Prove

What is reason 3?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

What is the correct statement for 3?

• AD=EA

• AB=CD

• AB≅EF

• AB=EF

What is the correct answer for the following proof?

• a.Given b. Subtraction c.6x-5=1 d. 5x-5=1 e.Substitution f.Division g.x=1/Substitution

• a.Given b.Subtraction c.6x-5=1 d.6x-5+5=1+5 e.Transitive Property f.Division g.x=1/Substitution

• a.Given b.Subtraction c.6x-5=1 d.6x-5+5=1+5 e.Substitution f.Division g.x=1/Substitution

Step 2 is what

• Substitution property (simplify)

• Multiplication property of equality

• Division property of equality

• Distributive Property

Identify the property used here:
39=39

• Reflexive

• Symmetric

• Transitive

• Substitution