test2_rev - Test #2 Review Sheet M 333 L Fall 2010...

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Test #2 Review Sheet M 333 L Fall 2010 READINGS: From the textbook Roads to Geometry : Sections 3.4 3.6 , 4.1 4.4, 4.5, 4.6, 4.7 (pp. 191 - 193 only), 4.8, 4.9 (pp. 206 - 211 only) HANDOUTS: From the "Neutral Geometry" folder: More on Neutral Geometry II Proofs of Some EPP Equivalences (in Neutral Geometry) The Correct Statements of The "Alternate Interior Angles" Theorem and of The Converse of the Alternate Interior Angles Theorem The Converse of AIA is False in Hyperbolic Geometry Equivalence of Statements in the FPG100 Geometry Equivalence of Statements in Neutral Geometry Examples from the Textbook of Good Ways (and of a Poor Way) to Begin a Proof of an IF-THEN Statement From the "Euclidean Geometry I" folder: Introduction to Euclidean Geometry (Section 4.2) Notes on Median Concurrence The Area Concept , Similarity in Triangles, and Applications of the Basic Proportionality Theorem The Basic Proportionality Theorem Triangle Similarities and Similarity Conditions -- SSS- , AAA- , SAS Similarity Triangle Similarity Problems Proof of the Pythagorean Theorem An Application of the Converse of the Basic Proportionality Theorem Available Corollaries to the Converse of the Alternate Interior Angles Theorem From the "Circles in Euclidean Geometry" folder: Circles in Euclidean Geometry I Circles in Euclidean Geometry II Outline of the Proof Solution of Problem #39 of Section 4.5 (as presented in class) From the "Euclidean Geometry II" folder: The Special Points of a Triangle The Orthocenter, Excenters, Excenters, and the Euler Line (Sections 4.6 and 4.7) The Three Excircles and the Incircle of a Triangle The M A -- F A -- Q A Notation The Nine-Point-Circle Theorem Theorem (NIB) 4.9 Euclidean Tools Constructions (NIB) Homework / Lab assignments: HW #05 – HW #10 / Lab #2 and Lab #3 (Solutions are posted) Note: It is helpful to review the Chapter Summaries on pp. 119 – 123 and on pp. 233-239 . Bring a Compass and Straight-edge to the test.
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2 Questions on the test will be of various types: Short answer or fill-in-the-blank, State certain definitions, theorems, postulates. Compute various numbers, figures, correspondences, and equations using the concepts we have studied (e.g., similarity of triangles, the Inscribed Angle Theorem, etc.). Understand the proofs presented in class, but the more complicated ones will not need to be presented in full . Presentation of complete proofs may be required for the simpler ones. Proofs will be required on some problems. Topics:
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test2_rev - Test #2 Review Sheet M 333 L Fall 2010...

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