The term geometric primitive in computer graphics and CAD systems is used in various senses, with common meaning of atomic geometric objects the system can handle (draw, store).
Sometimes the subroutines that draw the corresponding objects are called "geometric primitives" as well.
The most "primitive" primitives are point and straight line segment. In fact, they were sufficient for early vector graphics systems.
Modern 2D computer graphics systems may operate with primitives which are lines (segments of straight lines, circles and more complicated curves), as well as shapes (boxes, arbitrary polygons, circles).
On parametric primitives (quadrics and patches), varying primitive variables are bilinearly interpolated across the surface of the primitive.
Primitive variables which are declared to be of type point (including the three predefined position variables) are specified in object space, and will be transformed by the current transformation matrix.
The geometric normal of the polygon is computed by computing the normal of the plane containing the polygon (unless it is explicitly specified).