# test1_rev - Test#1 Review Sheet READINGS From the textbook...

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Test #1 Review Sheet M 333 L Fall 2010 READINGS: From the textbook Roads to Geometry : Sections 1.1, 1.2, pp. 19-21 Sections 2.1, 2.2, 2.3, 2.6, 2.7 Sections 3.1, 3.2. 3.3 HANDOUTS: From the "First Handouts" Folder: Review of High School (Euclidean) Geometry Some Definitions from Euclidean Geometry -- Part I Congruence between two triangles Congruence Between Two Triangles Worksheet (Not the HW worksheet!) Solutions to Congruence Between Two Triangles Worksheet (Not the HW worksheet!) Triangle Congruence Conditions: S A S , A S A , A A S , S S S , and (for right triangles) H L An Example Proof Using the Triangle Congruence Conditions The Axiomatic Method Consistency, Completeness, and Independence of a Set of Axioms Proof-Suggestions for Exercise #3 of Section 1.2 (including a proof by contradiction) Summary of Euclid's "Elements", Book I The SMSG Postulates for Euclidean Geometry Three Flaws in the Axiom System presented in Euclid's "Elements" A False Theorem showing the Error of Replacing Logic with Reference to a Diagram The Three Alternatives for a Parallel Postulate From the "Neutral Geometry" Folder: Introduction to Neutral Geometry More on Neutral Geometry I The "Common Perpendicular" Theorem Examples from the Textbook of Good Ways (and of a Poor Way)