The Problem Investigation

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?

Conjecture

The traced curve by the point D, while the point C moves along the road straight line is a parabola.

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? Conjecture The traced curve by the point D, while the point C moves along the road straight line is a parabola.	Please enable Java for an interactive construction (with Cinderella).
	Drag the free elements, move the point C along the straight line L, or use the animation buttons to experience the locus of the point D, which is the heights intersection point of the triangle ABC.

Animating and Tracing Loci Facilities of Cinderella