Construct the perpendicular bisectors of each side in the triangle below. Find the intersection of all three bisectors.
Drag one of the vertices of the triangle. What type of triangle is formed when the intersection lies: in the triangle outside the triangle on the triangle
The perpendicular bisectors have been constructed for you. Animate point D by clicking the play button on the lower left part of the window. What shape does D seem to make. Verify your answer by right clicking on D and trace. You can pause the animation by clicking on the pause button.
How you best describe the relationship between the figure that point D traced and the triangle?