Below is a triangle with all 3 of its sides' perpendicular bisectors being shown.[br][br]Drag the vertices of the triangle to create a variety of triangles, and see what you notice.[br][br]Use the questions below to help guide your exploration and then answer each of them with your findings.
Do all of the perpendicular bisectors meet at a point?[br][i](Check to see if this is always true by dragging the triangle's vertices.)[/i]
Will that point ([i]point C[/i]) always be located inside of the triangle? Why or why not?
What can you conclude about the location of [i]point C[/i] based on the type of triangle (acute, obtuse, right)?
Do you notice anything interesting about [i]point C[/i] in relation to the circle that the triangle in contained in?