Made by Matthew Z.
Postulates/Theorems
Unnamed Theorem Two or more reflections can always be expressed with one isometric transformation.
|
Reasoning
I chose these specific postulates and theorems to put on the website because they were the most important ones we learned about during the unit. The first three postulates / theorems all have to do with proving angles congruent or lines parallel, which is pretty important in geometry if you really think about it. The next two shift focus to the coordinate grid, and how parallel and perpendicular lines behave on said grid. These two just can't be left out because they are part of the foundations necessary for the unit about transformations, which included the unnamed theorem - a vital theorem for understanding how isometries act. Finally, I just couldn't leave out the triangle angles theorem because it was so important and referred to so often in geometry.