Angle Bisectors & Incenter Investigation
In the app below, you can change the size of the triangle by moving any one (or more) of its vertices.
You can also alter the size of the angle in the lower left corner by using the smaller slider.
(You can also zoom in/out.)
1.
The point you see inside the triangle is called the INCENTER of this triangle. Notice there are 3 equal distances in this triangle. How would you describe these equal distances in your own words? That is, each of these distances is the distance from the _________ to ___________?
2.
What is so special about the circle with respect to the sides of the triangle?