**How it works ?**

- In the applet below, note that
**point***E*is equidistant**from the SIDES of ANGLE****BAC.****Directions:** *E*‘s distance from the sides of ANGLE*BAC.*As you do, you’ll notice that all possible locations of point*E*will be traced out.- 2) What does the locus (set) of points in the plane equidistant from the sides of an angle look like?
*Be specific!* - 3) Now move points
*A*and*B*around to change the initial measure of the displayed angle. After doing so, hit the “clear trace” button to clear the previous traces of*E*. - 4) Repeat step (1). Does your response for (2) above still seem valid?
- 3) Use the tools of GeoGebra to show that your response in (2) above is true.
- Use your observations from interacting with the applet above to complete the following statement:
**If a point is ____________________ from the ____________ of an ______________, then****that __________________ lies on the ___________________ of that ________________.**