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
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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
Geometry, Non Euclidean Geometry, Postulates, 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.
Elementary Algebra
The document you are viewing contains questions related to this textbook.
Chapter 1 / Exercise 38
Elementary Algebra
Tussy/Gustafson
Expert Verified

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