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

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Test 1Mathematics 2P90October2012Page 1Name:_____________________Student Number_____________Answer all questions on this paper.No aids are permitted.1. [2]Euclid’s Elements contains postulates,propositions and commonnotions.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 issaid to be_________________________.
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Chapter 1 / Exercise 38
Elementary Algebra
Tussy/Gustafson
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Test 1Mathematics 2P90October2012Page 24. [4] State the hyperbolic parallel postulate and its negation.Hyperbolic parallel postulateNegation of hyperbolic parallel postulate:5. The three axioms of incidence geometry areAxiom 1Axiom 2Axiom 3
Test 1Mathematics 2P90October2012Page 36. [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, andC.A point P is incident with

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Term
Fall
Professor
SandraYee
Tags
Euclidean geometry, Axiom, Parallel postulate, Hyperbolic parallel postulate
##### We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
The document you are viewing contains questions related to this textbook.
Chapter 1 / Exercise 38
Elementary Algebra
Tussy/Gustafson
Expert Verified