Euler's discovery

Create a arbitrary triangle ABC, and using the tools provided, find the orthocenter, circumcenter, and centroid of ABC. When using the orthocenter, centroid, and circumcenter tools, you must select points A, B, and C.
Using the move tool, move points A, B, and C. Do you notice anything about the orthocenter, circumcenter, or centroid? What appears to be true about these points? What tool (from the toolbar) could you use to check your conjecture? Move the points A, B, and C to check your conjecture. Does your conjecture appear to be true?