The Nine Point Circle 2022
Construct the Nine Point Circle, as shown and described below; must pass the "drag test."
1. In triangle ABC construct the midpoints of the three sides. Right click on the points and "show label". Midpoints should be labeled D, E, and F.
2. In triangle ABC construct the altitudes of the three sides. Mark and label (right click) the orthocenter "O".
3. Mark the base of the altitudes where each line meets the sides of the triangle. Label these points G, H, J. You will need to rename point I to J.
3. In triangle ABC construct the midpoints of the distance between the orthocenter and each of the vertices. Label these points K, L, and M
4. In triangle ABC construct the circumcenter. Label this point Ci.
5. In triangle ABC construct the midpoint between the circumcenter and the orthocenter. Label this point Mid.
6. Construct a circle with its center at Mid and a point on the circumference at the midpoint of one of the sides of triangle ABC; this is the Nine Point Circle