Example of a proof:
If 3x+9=6x-3, then x = 4.
Reason: Subtraction Property of Equality
Reason: Addition Property of Equality
Reason: Division Property of Equality
Reason: Reflexive Property.
That's only the easy part. I have 20-30 properties, theorems, postulates, and definitions to go through. On the test, the questions will be about line segments, angles, linear pairs, vertical angles, and more.