[color=#000000][b]Questions: [/b][/color] [br][br][color=#000000]1) Where exactly is the [/color][color=#1e84cc][b]center[/b][/color][color=#000000] of a triangle's [/color][color=#1e84cc][b]9-point circle[/b][/color][color=#000000] located?[br] That is, how would you describe to somebody how to locate it? [br] Be sure to use appropriate vocabulary terms and be sure to be specific in your response! [br][br]2) Describe the [/color][color=#ff00ff][b]points[/b][/color][color=#000000] that are located on a triangle's [/color][color=#1e84cc][b]9-point circle[/b][/color][color=#000000]. What exactly are these [/color][color=#ff00ff][b]points[/b][/color][color=#000000]? [br] That is, how do these [/color][color=#ff00ff][b]points[/b][/color][color=#000000] relate to features of the triangle itself? [br][br]3) Does the [/color][color=#1e84cc][b]center[/b][/color][color=#000000] of a triangle's [/color][color=#1e84cc][b]9-point circle [/b][/color][color=#000000]always lie inside the triangle? [br] [br]4) Is it ever possible for any [/color][color=#ff00ff][b]2 or more[/b][/color][color=#000000] of these [/color][color=#ff00ff][b]9 points[/b][/color][color=#000000] to overlap? That is, did you observe any cases [br] where [/color][color=#ff00ff][b]2 (or more) pink points coincide [/b](lie on top of each other)[/color][color=#000000]? If so, describe any possible [br] conditions/features of the triangle for which this behavior occurred.[br][/color][i][color=#1e84cc] Be sure to use the tools of GeoGebra to help you provide answer(s) to this question! [/color][/i]