9-Point Circle Action (Part 4)
This applet follows the 9-Point Circle (Part 3) GeoGebra worksheet found here:
https://tube.geogebra.org/m/QK5mWnmE
In the applet below, a triangle is shown with its 9-Point Circle.
K is the center of this 9-point circle.
The triangle's circumcenter, centroid, and orthocenter are also shown.
Recall that these 3 special points are all collinear.
It also turns out that K is collinear with these 3 points as well! (See below.)
Interact with the applet below for a few minutes. Then answer the question that follows.
Question:
How would you describe the location of the center of a triangle's 9-point circle with respect to the triangle's centroid and orthocenter? Explain.