How it works ?
- As a class, we have just formally proven the Triangle-Angle-Sum-Theorem. (An informal illustration of this theorem can be seen here.)
- Because we know what we now know, we should be able to make some other conclusions that are an immediate consequence of this theorem. Such a conclusion is referred to as a corollary. A corollary is a statement (another theorem, really) that can automatically be proven true as a result of a “bigger-picture-theorem”.
- One corollary that is easy to prove as a result of the Triangle-Angle-Sum-Theorem will be illustrated below (once you slide the slider).
- Interact with this applet for a few minutes, then answer the questions that follow. As you do, feel free to move the white points anywhere you’d like.