7.1 Part 2

1. What was the most difficult part of the reading for you?
I guess that the hardest part of the reading for me was the same thing that was difficult for me in the homework. With these complex operations and definitions of a group, it is difficult for me to figure out if each element has an inverse. I didn't really have a hard time finding the identities of the different groups in number 4, but figuring out the inverses and if they were in the group kind of tricked my head a little, and I think that is the difficult part for me.

2. Shape Symmetry
I really liked the examples they had where they reflected, rotated, etc. the different shapes. I think the reason this really sunk in with me is because I'm currently in Survey of Geometry where we are really looking at those symmetries and such, so having a visual between the shapes and "functions" moving the corners (or whatever) was very helpful for me to understand what is going on in groups (mostly how after you  look at the symmetries the you have to end up with the same shape, which really painted a picture for me about being closed under the operation). So.... the moral of the story is that it made me happy.