Question

How are a pyramid and a cone similar?
They both have polygon bases.
They both have lateral faces.
They both have one base.
They both have vertices.

Answer 1

They both have one base.
Some would include: They both have vertices.

There is lack of agreement.
See the link: http://mathcentral.uregina.ca/QQ/database/QQ.09.09/h/tom1.html

Answer 2

hmm... that's a good read.