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(a) Axioms of incidence geometry are satisfied.
It has euclidean parallel geometry
(b)Axioms of incidence geometry are satisfied
It has euclidean parallel geometry
(c)Axioms of incidence geometry are not satisfied
It has hyperbolic parallel geometry
(d)Axioms of incidence geometry are satisfied
It has euclidean parallel geometry
Solution
(a) Axioms of incidence geometry are satisfied.
It has euclidean parallel geometry
(b)Axioms of incidence geometry are satisfied
It has euclidean parallel geometry
(c)Axioms of incidence geometry are not satisfied
It has hyperbolic parallel geometry
(d)Axioms of incidence geometry are satisfied
It has euclidean parallel geometry

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