All three angle bisectors of a triangle will intersect at the same point - the [b]incenter[/b].[br][br]Let the incenter be point I in the diagram.
6) Do all of the angle bisectors meet at a point? [br]([i]Drag the vertices of the triangle to create a variety of triangles to check if this is always true[/i])[br][br][br]7) Will the [b]incenter[/b] always be located inside of the triangle? Why or why not?[br][br]8) What can you conclude about the location of the incenter based on the type of triangle?
[br][br]9) The [b]incenter[/b] is the center of the circle that is inscribed inside a triangle.[br]What does it mean for a circle to be [b]inscribed[/b] in a triangle?[br][br]10) How would you describe, in words, the length of the radius of the circle that is [b]inscribed [/b]in a triangle?[br]([i]Use point G to help with your description[/i])