Reasoning in Algebra and Geometry (Algebraic Proof)

Identify the property of equality.
If 9=x, then x=9

• Reflexive
• Symmetric
• Transitive
• Substitution

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

CCSS.HSA.REI.B.3

What is always the 1st statement in reason column of a proof?

• Prove
• Given
• Reason
• Statement

What is the reason for step 2?

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

Tags

CCSS.HSA.REI.A.1

What is step 6

• Subtraction property of equality
• Addition property of equality
• Division property of equality
• Multiplication 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 5?

• Transitive Property
• Reflexive Property
• Symmetric Property
• Reverse Property

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.A.1

CCSS.HSA.REI.B.3

What is reason 2?

• 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