Practice Test - Test 1 October 2012 Mathematics 2P90 Name:_...

Test 1 Mathematics 2P90
October 2012
Page 1
Name:_____________________
Student Number_____________
Answer all questions on this paper. No aids are permitted.
1. [2] Euclid’s Elements contains postulates, propositions and common
notions. State and define another word for postulates.
2. State Euclid’s fifth postulate.
3. [1] If all models for an axiom system are isomorphic then the system is
said to be _________________________.

Test 1 Mathematics 2P90
October 2012
Page 2
4. [4] State the hyperbolic parallel postulate and its negation.
Hyperbolic parallel postulate
Negation of hyperbolic parallel postulate:
5. The three axioms of incidence geometry are
Axiom 1
Axiom 2
Axiom 3

Test 1 Mathematics 2P90
October 2012
Page 3
6. [4] Consider a model in which points are defined as points on the x-y plane,
and lines are all those lines on the plane that pass through the point (1,1).
Is this a model for incidence geometry? Explain.
Which parallel postulate is satisfied? Explain.
7. [6] A model has the points : {A}, {A, B}, and {A, B, C} and lines: A, B, and
C. A point P is incident with