Addition Property of Equality:
For every real numbers a, b, and c: if a = b, then a + c = b + c
Multiplication Property of Equality:
For every real numbers a, b, and c: if a = b, then ac = bc
Transitive Property of Equality:
For every real numbers a, b, and c: if a = b, and b = c, then a =c
Reflexive Property of Equality:
For every real number a, a = a
Symmetry Property of Equality:
For every real number a, b: if a = b, then b = a
I think these are self-explanatory. Nonetheless, should you find anything that you don't understand, please don't hesitate to ask me :D