[color=#000000]This applet follows the 9-Point Circle (Part 3) GeoGebra worksheet found here:[br]https://tube.geogebra.org/m/QK5mWnmE[br][br]In the applet below, a triangle is shown with its 9-Point Circle.[br]K is the center of this 9-point circle. [br][br]The triangle's [/color][color=#980000]circumcenter[/color][color=#000000], [/color][color=#38761d]centroid[/color][color=#000000], and [/color][color=#ff7700]orthocenter[/color][color=#000000] are also shown. [br]Recall that these 3 special points are all collinear. [br]It also turns out that K is collinear with these 3 points as well! (See below.) [br][br]Interact with the applet below for a few minutes. Then answer the question that follows. [br][/color]

[color=#000000][b]Question: [/b][br][br]How would you describe the location of the center of a triangle's 9-point circle with respect to the triangle's [/color][color=#38761d]centroid[/color][color=#000000] and [/color][color=#ff7700]orthocenter[/color][color=#000000]? Explain. [/color]