What are some strategies for writing geometry proofs?

A common strategy for geometry proofs is approaching the steps in backwards order. After pretending the conclusion is true, look for adjacent or opposite lines and angles and infer statements about them. After repeating that process, the initial given statement may reveal itself.

Other tips include initially thinking about the process in plain English before writing a precise Euclidian proof. After thinking about the main steps this way, focus on the details, and write down every single statement, even if it feels like common sense. Lastly, look for parallel lines, isosceles triangles and radii to infer new information about the problem.