Cross Section of a Cone

Move points A, B, and C and visualize the plane through these 3 points. (Be sure the points are not colinear when you position them)
1) What are the different cross section shapes that you can make? a) Describe the general shape of the different mathematical objects you can create? b) Is it possible to make a polygonal cross section? If so, what type(s) of polygon(s)?