Algebraic Reasoning Proofs

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

Tags

CCSS.HSA.SSE.B.3

What is the Distributive 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

Tags

CCSS.3.OA.B.5

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 4

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the Transitive property?

• If a=b, then  a can be substituted for b in any equation or expression
• a(b+c)=ab+ac
• If a=b, and b=c, then a=c
•  If a=b, then b=a

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

When starting a proof you always start with:

• Given information
• What it wants you to prove
• Equal Angles
• Linear Angles

Tags

CCSS.HSG.CO.A.1