Algebraic Proofs

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

Tags

CCSS.HSA.REI.B.3

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

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

What is reason 1?

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

Tags

CCSS.HSA.REI.A.1

Step 2 is what

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is step 6

• Subtraction property of equality
• Addition property of equality
• Division property of equality

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is reason 2?

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is reason 3?

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is reason 4?

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is reason 5?

• Transitive Property
• Reflexive Property
• Symmetric Property
• Prove

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.5

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSG.CO.C.9