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?[br] a) Describe the general shape of the different mathematical objects you can create?[br] b) Is it possible to make a polygonal cross section? If so, what type(s) of polygon(s)?

Information: Cross Section of a Cone