So, we may have reached a stage where just crafting a proof in our mind and then putting it down on paper is not the best way for more involved and complicated proofs. In essence, we have come to what geometry is all about; exploration! To make the process of discovery more effective, try some of the suggestions below.
1. Draw a reasonably large diagram so that relationships between lines and angles are easy to spot and label and that auxiliary lines find adequate space to be drawn.
2. Label all that you can on the diagram and if you're afraid of clutter then consider using some alternatives for marking congruent angles and lines. (Jack's suggestion of using roman numerals is effective!)
3. Start forming a list of relationships you do see as being true. If possible, jot down some reasons so that the task of writing a formal proof is not too daunting. The list is important because often the diagram cannot house all the relationships and the list could help you establish relationships, especially algebraic ones.
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