A star, cone, pyramid.
A pyramid would fit the given description
It is the two-dimensional image of the solid figure when it is viewed from points above the object. In mathematical terms (projective geometry), it is the projection of the figure onto a horizontal plane using the point at infinity as the centre of projection.
A sphere. In Geometry, it is a round solid figure. Every point on it's surface is an equal distant from it's center.
That is the Vertex
A sphere?
It is the point of a dihedral (solid) angle.
It is the vertex and its plural is vertices
a cone!, It has a top and a bottom
A vertex on a cube, for example, is where any three edges meet. On a pyramid (square type) it could be at the point on the top or the 4 bottom edges. :)
A Sphere.
A cube.
a pentagonal pyramid it has five triangular sides that all meet at a point at the top. the base is a pentagon