# The Nine Point Circle

- Author:
- Mathew Purser

- Topic:
- Circle, Constructions

Construct the Nine Point Circle, as shown and described below; must pass the "drag test."
1. In triangle ABC construct the mid points of the three sides
2. In triangle ABC construct the altitudes of the three sides; mark the base of the altitudes where it meets the sides of the triangle and the orthocenter
3. In triangle ABC construct the midpoints of the distance between the orthocenter and each of the vertices
4. In triangle ABC construct the circumcenter
5. In triangle ABC construct the midpoint between the circumcenter and the orthocenter; call this point N
6. Construct a circle with its center at N and a point on the circumference at the midpoint of one of the sides of triangle ABC; this is the Nine Point Circle