Algebraic Properties of Equality

Name the Property that the statement illustrates:

If x=y then 3x=3y

• multiplication property

• addition property

• reflexive property

• symmetric property

Name the Property that the statement illustrates:

m = m

• reflexive property

• symmetric property

• transitive property

• multiplication property

Name the Property that the statement illustrates:

If g=h then h=g

• symmetric property

• reflexive property

• transitive property

• subtraction property

Name the Property that the statement illustrates:

If AB=21 and DC=21 then AB=DC

• Substitution Property

• Reflexive Property

• Symmetric Property

• Subtraction Property

Complete the statement using the substitution property:

If DC=10, then DC+FG = ______

• 10 + FG

• 10

• 20

• 2*FG

Complete the statement using the symmetric property:

If KL=RT then _____

• RT=KL

• KL=KL

• 4KL=4RT

• KL+C=RT+C

Complete the statement using the Multiplication Property:

If AB=CD then 6AB=_____

• 6CD

• 6AB

• AB6

• 6+AB

3(w + 4) = 3w + 12 is an example of...

• Inverse Property
• Distributive Property
• Multiplicative Inverse
• Associative Property

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

What is the Symmetric property?

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