# Geometry - 4th Edition

## Chapter 2: Reasoning and Proof

Some links are repeated for use with more than one lesson.

### 2.1 Patterns and Inductive Reasoning

http://www.slideshare.net/bmajor/geo-11-patterns-and-inductive-reasoning
This site contains a slide show with notes on patterns and inductive reasoning. If the slide show is not visible when you first open the page, point your browser to a different page and then return to this page and the slide show will be there.

http://mcuer.blogspot.com/2007/07/geometry-chapter-11-patterns-and.html
This page has notes on how to use inductive reasoning to solve the next part of a pattern.

### 2.2 Deductive Reasoning

http://changingminds.org/disciplines/argument/types_reasoning/deduction.htm
This site has an explanation of deductive reasoning and how it should and shouldn't be done.

### 2.3 Converses, Inverses, and Contrapositives

http://www.regentsprep.org/regents/math/geometry/GP2/indexGP2.htm
NEW This page contains explanations, notes, and practice problems on the topics of converse, inverse, and contrapositive.

### 2.4 Valid Arguments

http://philosophy.hku.hk/think/arg/valid2.php
This site include a tutorial about argument analysis, specifically patterns of valid arguments.

### 2.5 Types of Proof

http://www.sparknotes.com/math/geometry3/geometricproofs/terms.html
This is a list of the types of geometric proofs with definitions.

### 2.6 Proof in Algebra and Geometry

http://www.math.toronto.edu/mathnet/falseProofs/first1eq2.html
This page shows a proof using basic algebra of the classic Fallacious Proof.

http://fermatslasttheorem.blogspot.com/2006/05/fundamental-theorem-of-algebra-proof.html
A blog that shows classic algebraic proofs described by the author as "accessible to the mathematical amateur".

### 2.7 Proving Theorems about Angles

http://www.freeonlinecalculator.net/calculators/geometry-plane/triangle-theorems.php
This site states the theorems about triangle sides and angles and has a calculator to help find the missing side or angle.

http://www.mathwarehouse.com/geometry/similar/triangles/similar-triangle-theorems.php
This page explains the theorems that prove triangles similar and has practice problems.

### 2.8 Proving Lines Parallel and Perpendicular

http://www.tpub.com/math2/4.htm
This page states how to prove lines parallel and perpendicular and has a proof on showing lines perpendicular.