This is just simply a pyramid, the "triangular" part, as you had answered, is not needed.
The faces are the "flat sides" to this shape. This shape has five faces, the two facing us, the two facing away, and the one on the bottom.
An edge is a, well, edge. In this case, it is a straight line in the shape. There are 8 edges to this shape. The four around the bottom, and the four total around the triangles.
The vertices are the single points or the "corners" of the shape. There are also 5 vertices, the one on the top and the four around the bottom.