# Math: Properties of Equality

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1. What are the algebraic properties of equality?
• Subtraction property
• Multiplication Property
• Division Property
2. if a=b then a + c = b+ c
3. a=b
a- c= b-c
Subtraction property
4. a=b
ac=bc
Multiplication property
5. a=b
a/c=b/c
Division property
6. Any real number is what?
Equal to itself (reflexive property)
7. _                              _
AB (congruent sign) AB
Reflexive Property
8. a=a
Reflexive Property
9. What property can you switch the two sides of an equation?
Symmetric Property
10. <A=m<B then m<B=m<A
Symmetric Property
11. a=b
b=a
Symmetric property
12. If a=b and b=c then a=c
Transitive Property
13. If AB=BC and BC=AC then AB=AC
Transitive Property
14. If two things are equal to the same thing they are equal to each other
Transitive Property
15. This property says that if two things are equal then one may be substituted in place of the other
Substitution Property
16. x=y
6x=10
6y=10
Substitution property
17. AB=15
then AB + 5= 20