There is no "more accurately" about it!
You either prove it or you don't...or maybe it can't be proved.
In any event what is wanted is a step-by-step reasoning with reasons at every step. The reasons depend on the initial axioms and postulates and the "things" you have proved before. This kind of logic is sometimes called a "two column" proof. For example, the proof that 2 triangles are congruent if they have sides equal each to each depends on the proof that the base angles of an isosceles triangle are equal.
This process is not unique to geometry. It is used in all branches of mathematics although, generally speaking, the so-called "2 column" display is most often not evident. Furthermore, it is excellent discipline for any kind of formal reasoning, so often not encountered in discussions by less well educated person. (just my 2 cents worth!)
