Circumcenter2

Construct the angle bisectors in the triangle below. Find the intersection of the three bisectors. Drag a vertex and state the type of triangle formed when the intersection point is:

On the triangle In the triangle Outside the triangle

The triangle above shows the three angle bisectors, and point F. Click play on the lower left window and notice the shape F traces. Verify your answer by right clicking on F and selecting Trace.

How would you best describe the shape that F traced and it's relationship to the triangle?