ࡱ> (*' Q jbjbjj Q]  h*YYY%'''''', PSYYYYSY6%""Y%%% R%In my investigation, I will construct an Orthic Triangle and the 4 different centers of a triangle: incenter, orthocenter, circumcenter, and centroid. An orthic triangle is similar to the Medial triangle but different in many ways. The orthic triangle is not constructed from the midpoints of the sides. I will construct a triangle.  I will now construct the centroid of this triangle. By constructing the centroid I needed to construct a segment from the vertex to the midpoint of the opposing line segment. I will now construct the orthocenter of the triangle and place it with the centroid.  I will now construct the circumcenter of the triangle. The circumcenter will be placed with the centroid and he orthocenter. The last center that I will construct will be the incenter. I will also place it with the other centers of the triangle. Now I will construct the orthic triangle and construct the centers of it also. In comparing the centers of the orthic triangle and the regular triangle I made a few observations. The centers were not far away from each other. The circumcenter of the regular triangle was very close to the circumcenter of the orthic triangle. I also observed something very interesting. The orthocenter of the regular triangle is the same distance and point as the incenter of the orthic triangle. 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