1) distributive property
2) reflexive property
3) multiplication property of equality
4) transitive property of equality
5) addition property of equality
6) substitution property
- Step-by-step explanation:
1.)
a(b + c) = ab + ac
This shows distributive property theorem method.
2.)
a = a, or
This is an example of reflexive property.
3.)
If a = b, then ac = bc.
This shows multiplication property of equality theorem method.
4.)
If a = b and b = c, then a = c.
This shows transitive property of equality.
5.)
If a = b, then a + c = b + c.
This shows an example of addition property of equality.
6.)
If a = b, then b can be replaced in any expression.
This shows substitution property. a can be replaced as b or b as a.