In the diagram below, there are two circles. The radius of the circles is controlled by the slider.[br]Set the slider to 2 (or as close as you can get it).[br][br]Copy and paste these two sentences below and complete them.[br][br]1. The red circle represents the locus of points that are....[br]2. The green circle represents the locus of points that are....

How many points are 2 units from A?

How many points are 2 units from B?

How many points are 2 units from A [b]and [/b]2 units from B?

Change the slider to 6.[br]How many points are 6 units from A?[br]How many points are 6 units from B?[br]How many points are 6 units from A [b]and[/b] B?

In the diagram below, the red circle shows all of the points that are 3 units from point A. The green circle shows all of the points that are 3 units from point B. The two black points are the ONLY TWO points that are 3 units from point A [b]and[/b] 3 units from point B. These two points are [u]equidistant[/u] from A and B.[br][br]The slider controls the radius of the circles. Adjust the slider to see how the two black points move. Notice that the two black points are always [u]equidistant[/u] (the same distance) from points A and B.

Right click each of the black points and turn the "trace" on. Move the slider to show all of the points that are equidistant from points A and B. What does the locus look like? Use appropriate vocabulary.

Use the diagram below.[br][list][*]Move point B to a different location on the screen. [br][/*][*]Turn the trace on for both black intersection points. Reminder: these two points are equidistant from points A and B.[br][/*][*]Adjust the slider to change the radius of the circles. This will show you [b]the locus of points that are equidistant from points A and B.[/b][/*][*]Describe the locus. Use appropriate vocabulary.[/*][/list]