Angle Bisector Theorem (Part 1)

The applet below contains an angle and a [color=#0a971e]point D[/color] that always remains EQUIDISTANT from the SIDES of this angle. Complete the direction in the applet below (first) and then proceed to the questions below the applet.
Questions:[br][br]1) What does the locus (set of points) of all the green traces of point D seem to form? How would you describe this set of points in detail? [br] (Recall a previous vocabulary term). [br] [br]2) Click the checkbox in applet above to either confirm your answer to question (1) or help you better answer question (1). [br][br]3) Use what you've observed to complete the following statement:[br] [b] "If a point is equidistant from the sides of an angle, then that point..... [/b]

Information: Angle Bisector Theorem (Part 1)