Locus #2

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

Change the slider to 6. How many points are 6 units from A? How many points are 6 units from B? How many points are 6 units from 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.

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