Lesson on Algebraic Proofs

What is reason 1?

• Subtraction Property of Equality
• Transitive Property of Equality
• Given
• Prove

What is reason 2?

• Given
• Addition Property of Equality
• Subtraction Property of Equality
• Substitution Property of Equality

What is reason 3?

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

What is reason 4?

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

What is reason 5?

• Transitive Property
• Reflexive Property
• Symmetric Property
• Prove

What is the reason for the statement below?
Given: m∠1 = 63
m∠1 + m∠2 = 90
Prove: 63 + m∠2 = 90

• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality
• Substitution Property of Equality

For any numbers a, b, and c, if a = b and b = c, then a = c.

• Transitive Property         
• Symmetric Property
• Reflexive Property
• Substitution Property

For any numbers a and b, if a = b, then b = a.

• Transitive Property         
• Reflexive Property 
• Symmetric Property   
• Substitution Property

If 3x + y = 14 and y = 9, then 3x + 9 = 14.

• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality
• Substitution Property of Equality

What is the Substitution property of equality

• a.  If a=b, then  a can be substituted for b in any equation or expression
• b.  a(b+c)=ab+ac
• c  For any real number a, a=a .
• d.  If a=b, then b=a