Locus Construction
Follow the instructions below to construct a locus
1. Plot a point C that lies on line d
2. Construct CF
3. Construct the perpendicular bisector of CF
4. Construct a line through C that is perpendicular to d
5. Mark the point of intersection between the lines you created in steps 3 and 4
6. Right click on that point and select Show Trace
7. Select the Move arrow and C along line d. What do you observe?
8. Construct a line FD
9. Measure and display the distances of FD and DC. What do you notice?
10. Drag C along d again. What do you notice about FD and DC?
11. What theorem justifies what you are seeing in steps 9 and 10?
12. How would you geometrically define the pink locus that you are observing in this applet? Be as specific as possible.