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Triangle Centers Tools

In addition to showing the triangle centers, this sketch has tools to find them for any set of three points. So it's a toolbox, really. The sketch was also useful for creating activeprompt questions. See the blogpost for more info: http://bit.ly/1gQTPbU Which center is which? (Some fool left them unlabeled.) Which centers can occur outside the triangles? When does that happen? When do which centers occur at the same point?