Constructing Eulers Line

Use the checkboxes to show the Orthocenter, Incenter, Circumcenter, and Centroid.
Can you create a line that goes through at least 3, if not all of the special points in this triangle?[br]This line is called Euler's Line. [br]Move vertex A to make the triangle Obtuse and then Right. What do you notice about the line? How does it move? What special points does it go through?
What point does Euler's line not necessarily have to go though?
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Information: Constructing Eulers Line