Class Drills for Spring 2008 MATH 330A Foundations of Geometry I

Class Drills for Spring 2008 MATH 330A Foundations of Geometry I

Class Drills for Chapter 1

Class Drill for Section 1.2.5: Negating the Statements of the Properties of Relations (Class Drill and Solutions)
Class Drill for Section 1.2.6: Relations on the Set of Real Numbers (Class Drill and Solutions)

Class Drills for Chapter 2

Class Drill for Section 2.3.1: Proving Basic Facts about an Axiom System with an Undefined Relation (Class Drill and Solutions)
Class Drill for Section 2.3.2: Proving a Theorem about an Axiom System with Undefined Terms (Class Drill and Solutions)
Class Drill for Section 2.4: Non-isomorphic models of an axiom system (Class Drill and Solutions)

Class Drills for Chapter 3

Class Drill for Section 3.2.1: Justifying steps in the proof of a theorem about Three Point Geometry (Class Drill and Solutions)
Class Drill for Section 3.3.3: Answering THE BIG QUESTION for Point Geometry (Class Drill and Solutions)
Class Drill for Section 3.4: Proving Fano's Geometry Theorem #1 (Class Drill and Solutions)
Class Drill for Section 3.5.2: Theorems of Incidence Geometry (Class Drill)

Class Drills for Chapter 4

Class Drill for Section 4.3: Measuring Angles in the Poincare disk (Class Drill)
Class Drill for Section 4.4: Interpretations of Incidence Geometry (Class Drill)

Class Drills for Chapter 5

Class Drill for Section 5.2: Justifying steps in a proof of Theorem 6 (Class Drill)
Class Drill for Section 5.4: Justifying steps in a proof of Theorem 11 (Class Drill)
Class Drill for Section 5.5: Justifying steps in a proof of Theorem 15 (Pasch's Theorem) (Class Drill)
Class Drill for Section 5.2: Justifying steps in a proof of Theorem 19 (Class Drill)

Class Drills for Chapter 6

Class Drill for Section 6.2: Justifying steps in a proof of Theorem 26 (Class Drill and Solutions)
Class Drills for Section 6.4: Justifying steps in proofs of Theorems 31 and 32 (about existence of perpendicular lines) (Class Drill and Solutions)
Class Drills for Section 6.6: Justifying steps in proofs of Theorems 38 and 42 (about the Alternate Interior Angle Theorem and the existence of parallel lines) (Class Drill and Solutions)

Class Drills for Chapter 7

Class Drill for Section 7.1: The Isosesceles Triangle Theorem and its Converse (Class Drill and Solutions)
Class Drills for Section 7.2: The Exterior Angle Theorem and the AAS Congruence Theorem (Class Drill and Solutions)
Class Drills for Section 7.3: Comparision Theorems (Class Drill and Solutions)

Class Drills for Chapter 10

Class Drills for Section 10.2: In Neutral Geometry, a line tangent to a circle is a line perpendicular to a diameter (Class Drill and Solutions)
Class Drills for Section 10.3: In Euclidean Geometry, perpendicular bisectors of segments joining three non-collinear points always intersect (Class Drill and Solutions)

Last updated June 6, 2008

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