Dual geometry with 5 points question

[snes_nerd]

Okay so I am given a 3D figure with 5 points. Keep in mind this model has the hyperbolic parallel property and satisfies the incidence axioms. The question is to construct the dual geometry and then to prove or disprove that it is an incidence geometry. My question is how do I go about constructing the dual geometry? I don't exactly know what they mean by dual geometry.

 

[HallsofIvy]

The "dual geometry" to geometry "T" uses the lines of T as its points and the points of T as its lines.