I used this Comune Di Trentola panorama (as well as some others) earlier in the year when we studied transformations. One construction popular with my students was repeated translations (as shown below).
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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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