Animating and Tracing Loci Facilities of Cinderella

Activity Problem

In the opposite figure, Can you expect the locus of the heights intersection point D, while the point C moves along the straight line L? In other words, which curve does the point D trace, while the point C moves along the straight line L? Make a conjecture?
Please enable Java for an interactive construction (with Cinderella).
Move the point C along the straight line L, which is parallel to the base AB, and observe the locus of the point D, then describe the curve that the point D traces.