In the app below, you can change the size of the triangle by moving any one (or more) of its vertices.[br][color=#ff00ff][b][br]You can also alter the size of the angle in the lower left corner by using the smaller slider. [br][/b][/color](You can also zoom in/out.)
What vocabulary term would you use to describe the segments that have this triangle's vertices as its endpoints? Why?
How do these 3 segments intersect? Describe.
[b][color=#1e84cc]The point you see inside the triangle is called the INCENTER of this triangle.[/color][/b][br]Notice there are 3 equal distances in this triangle. How would you describe these equal distances in your own words? [br][br]That is, each of these distances is the distance from the _________ to ___________?
Why do your observation(s) and response to (3) above hold true? What previously learned theorem justifies this?
For a hint, [url=https://www.geogebra.org/m/tU3ZqhjN]click here[/url].