Incenter + Incircle Action (V2)!

In the applet 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 (soon to appear) pink angle by using the pink slider. (You can also zoom in/out.)

1.

What vocabulary term would you ascribe to the 3 gray segments WITHIN THIS TRIANGLE?

2.

How do these 3 gray segments intersect? Describe.

3.

The light blue point is called the triangle's INCENTER. 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 _________ to ___________?

4.

Why do your observation(s) and response to (3) above hold true? What previously learned theorem justifies this?

Quick (Silent) Demo