Proposition 8

I have found the propositions to be mostly straightforward especially when constructing along with the instructions. It is satisfying when I am able to finish and understand them. In proposition 8, however, the proof section starting with "Suppose, for contradiction, that the vertex C does not coincide with F." was actually difficult for me to understand at first and required more time to understand. After talking the proposition over with classmates, watching a video, and thinking about it myself for a while, I think I internalized the basic meaning of proof by contradiction.

While I knew it was a proof by contradiction, it was not making sense as to why we should assume something wrong (the contradiction). I thought it was obvious that C and F lined up when I moved the triangles - they were supposed to. I think my presumption stemmed from my drawing in which the triangles looked very similar to each other. As a result of their appearance, it was hard to imagine the points not coinciding. Once it clicked that the goal is to prove the opposite of the contradiction, the rest of the proof made sense. While it took me more time than it probably should have, I feel satisfied having worked through it and having a better understanding as a result.