Geometric Proofs

There are two kinds of proofs: direct and indirect.

We are learning to proof geometry using what is called the TWO-COLUMN METHOD. On the left side is the statement and on the right side the reason. I often DO NOT know which part of a geometric shape to prove first or in what order the shape should be proven or how many statements is sufficient to get the job done.

Questions:

1) Does it really matter what order the statement section is proven?

2) What exactly do I need to memorize in order to be successful when proving geometric shapes?

3) What is the difference between indirect and direct geometric proofs?

Below is a sample question. I have NO CLUE where to begin. I notice that there are proofs that require more statements and reasons than others.

Here is a sample question:

Given:

C is the midpoint of segment AD.
C is the midpoint of segment BE.

Prove: Triangle ABC is congruent to Triangle DEC

This has been my biggest challenge in math. This is worst than word problems. I have NO CLUE how to tackle this type of question. I am frustrated. Help.

MY WORK:

Statement: C is the midpoint of AD. Reason: Given
Statement: C is the midpoint os BE. Reason: Given

Where do I go from here?

I have been fighting with proofs for months but to NO AVAIL. What is the easiest way to tackle geometric proofs?

How do I finish the question above?