I got this idea from HERE. The idea is this...you are presented with a quadrilateral that is drawn poorly, but which is marked correctly. Your job is to determine the best possible name for the quadrilateral (if it can be determined) or if it is a quadrilateral at all. Some examples are below...
So...what IS the best name for these quadrilaterals?
I have created a GeoGebra applet that generates up to 24 different poorly drawn quadrilaterals for anyone who is interested. You can find the applet HERE.
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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