What are the different types of 'reasons' that go into a proof and what does each one mean?

Question

anonymous · Answer

I believe that they are the following:
Symmetric Property of Equality
Subtraction Property of Equality
Division Property of Equality
Reflexive Property of Equality
Substitution Property of Equality
and 
Transitive

anonymous · Answer

Can you tell me what they mean please? I just dont know what the symmetric, reflexive, and transitive mean.

anonymous · Answer

Sorry there are nine of them. I didn't state all of them.
Addition, Multiplication, and Distribution are the other ones that I didn't state.

dmezzullo · Answer

shoot i know this but give me a min. cant think right now

anonymous · Answer

The transitive property has three terms. If a = b, and b = c, then a =c. They are equal to the same thing. It has be exactly in that order, or else its substitution.

anonymous · Answer

Okay :) @dmezzullo

anonymous · Answer

Reflexive Property: just reverse the order across the equals sign; it acts kind of like a mirror. I am learning them myself right now, so I'm not too sure about the Reflexive Property and symmetric. I don't really know the difference yet.

anonymous · Answer

Thanks! @Fang02

anonymous · Answer

No problem! :) I'm happy I could help. ^^

anonymous · Answer

Good luck with your schoolwork!

anonymous · Answer

You too!

anonymous · Answer

Thanks!