This applet shows the construction of the incenter of a triangle.

[b]Move[/b] points [color=#0000ff][b]A[/b][/color][color=#1551b5], [/color][color=#0000ff][b]B[/b][/color] and [color=#0000ff][b]C[/b][/color] and notice what happens to the triangle. [br][br]Answer the following questions:[br][br]a. What are the [color=#0000ff][b]blue lines[/b][/color] in the construction called?[br][br]b. How are those [color=#0000ff][b]blue lines[/b][/color] constructed?[br][br]c. What is point [color=#ff0000][b]D[/b][/color] called?[br][br]d. Constructing a [color=#5b0f00][b]circle[/b][/color] inside triangle [color=#0000ff][b]ABC[/b][/color] is called what?[br][br]e. In what special way do the [color=#ff7700][b]radii[/b][/color] of the circle intersect the sides of the triangle?[br][br]f. What type of triangle is constructed when the [color=#ff7700][b]radii[/b][/color] overlap the[color=#0000ff] [b]blue[/b] [b]lines[/b][/color]?[br][br]g. What is unique about the [b][color=#0000ff]blue lines[/color][/b] when all three sides of the triangle are congruent?