Proofs cont.

What is Addition property of equality

• a.   If a=b, then a+c=b+c
• b.  If a=b, then a-c=b-c
• c.  If a=b, then ac=bc
• d.  If a=b, then a/c=b/c

Identify the property used here:

<B=<B

• Reflexive Property

• Addition Property

• Substitution Property

• None of the above

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

• Subtraction Property of Equality

• Reflexive Property of Equality

• Addition Property of Equality

• Substitution Property of Equality

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 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 the fifth Reason?

• Symmetric Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Step 2 is what

• Substitution property (simplify)
• Multiplication property of equality
• Division property of equality
• Distributive Property

What is step 4

• Substitution property (simplify)
• Addition property of equality
• Subtraction property of equality