Students will discover the nature of the 'Mystery Point' in a triangle. The Mystery Point is a triangle center, constructed through algebraic and vector means, so students can not "un-hide" the construction to discover the center. The students will have to test various center constructions to discover the Mystery Point.
Before the Activity
You (and your students) should be familiar with the construction of the various centers and the conjugates, as well as with the Euler Line. You can easily remove some of the pages from this document to focus on the traditional centers if you wish. Partners rather than small groups are appropriate.