I provided this applet to my students a couple of weeks ago. It fit well with where we were at the time, exploring matrix transformations and all. I left it on my class Moodle for a week before we began talking about it in depth. My only question to the students was "What does point D have to do with anything?"
I pose the same question to you.
Or perhaps you will share a different question to ask.
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The Nine-Point Center
X(5) in Kimberling's Encyclopedia of Triangle Centers, is the center of the nine-point circle, which is the unique circle passing through the midpoints of the sides of the triangle. The radius of the nine-point circle is one-half the circumradius.
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