Recall the following:[br][br]The [color=#c51414]circumcenter[/color] of a triangle is the point of concurrency (intersection) of a triangle's 3 [color=#c51414]perpendicular bisectors[/color]. [br]The [color=#0a971e]centroid[/color] of a triangle is the point of concurrency of a triangle's 3 [color=#0a971e]medians[/color].[br]The [color=#1551b5]orthocenter[/color] of a triangle is the point of concurrency of the [color=#1551b5]lines that contain the triangle's 3 altitudes[/color]. [br][br]Check out the applet below. [br]Be sure to move the vertices of the black triangle around. [br][br]What do you notice? [br]What does this observation imply about these 3 points?[br]Is this observation always true even when you change the location of the triangle's 3 vertices?

See questions above applet.