Is Geometry by Lang and Murrow Enough for a High School Course?

In summary, "Geometry" by Serge Lang and Gene Murrow is a comprehensive textbook covering various topics in high school geometry, including distance and angles, coordinates, area and the Pythagoras theorem, polygons, congruent triangles, dilations and similarities, volumes, vectors and dot product, transformations, and isometries. It is suitable for high school students with a prerequisite of high-school algebra, and can cover a complete high school geometry course.

For those who have used this book

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  • #1
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Table of Contents:
Code:
[LIST]
[*] Introduction
[*] Distance and Angles
[LIST]
[*] Lines
[*] Distance
[*] Angles
[*] Proofs
[*] Right Angles and Perpendicularity
[*] The Angles of a Triangle
[*] An Application: Angles of Reflection
[/LIST]
[*] Coordinates
[LIST]
[*] Coordinate Systems
[*] Distance Between Points on a Line
[*] Equation of a Line
[/LIST]
[*] Area and the Pythagoras Theorem
[LIST]
[*] The Area of a Triangle
[*] The Pythagoras Theorem
[/LIST]
[*] The Distance Formula
[LIST]
[*] Distance Between Arbitrary Points
[*] Higher Dimensional Space
[*] Equation of a Circle
[/LIST]
[*] Some Applications of Right Triangles
[LIST]
[*] Perpendicular Bisector
[*] Isosceles and Equilateral Triangles
[*] Theorems About Circles
[/LIST]
[*] Polygons
[LIST]
[*] Basic Ideas
[*] Convexity and Angles
[*] Regular Polygons
[/LIST]
[*] Congruent Triangles
[LIST]
[*] Euclid's Tests for Congruence
[*] Some Applications of Congruent Triangles
[*] Special Triangles
[/LIST]
[*] Dilations and Similarities
[LIST]
[*] Definition
[*] Change of Area Under Dilation
[*] Change of Length Under Dilation 
[*] The Circumference of a Circle
[*] Similar Triangles
[/LIST]
[*] Volumes
[LIST]
[*] Boxes and Cylinders
[*] Change of Volume Under Dilations 
[*] Cones and Pyramids
[*] The Volume of the Ball
[*] The Area of the Sphere
[/LIST]
[*] Vectors and Dot Product
[LIST]
[*] Vector Addition
[*] The Scalar Product
[*] Perpendicularity
[*] Projections
[*] Ordinary Equation for a Line
[*] The 3- Dimensional Case
[*] Equation for a Plane in 3-Space
[/LIST]
[*] Transformations 
[LIST]
[*] Introduction 
[*] Symmetry and Reflections 
[*] Terminology
[*] Reflection Through a Line
[*] Reflection Through a Point 
[*] Rotations
[*] Translations
[*] Translations and Coordinates
[/LIST]
[*] Isometries
[LIST]
[*] Definitions and Basic Properties
[*] Relations with Coordinates
[*] Composition of Isometries
[*] Definition of Congruence
[*] Proofs of Euclid's Tests for Congruent Triangles 
[*] Isometries as Compositions of Reflections
[/LIST]
[*] Index 
[/LIST]
 
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  • #2
Is this book enough to cover a high school geometry course? Despite the name, I think I should confirm if this would count as enough. However, as with other Lang's book, I'm pretty sure this would be a good one.
 

1. What is the main focus of "Geometry by Lang and Murrow"?

The main focus of "Geometry by Lang and Murrow" is to provide a comprehensive understanding of geometry concepts and theories, and how they can be applied in real-world situations.

2. Who is the target audience for this book?

The book is primarily targeted towards high school and college students studying geometry, but it can also be useful for anyone interested in learning about geometry.

3. How is the book structured and organized?

The book is divided into 12 chapters, each covering a different aspect of geometry. The chapters are further divided into sections and subsections for easy navigation and understanding. Each chapter also includes numerous examples and practice problems.

4. What makes "Geometry by Lang and Murrow" different from other geometry textbooks?

This book stands out for its clear and concise explanations, numerous illustrations and diagrams, and real-life applications of geometry concepts. It also includes interactive online resources and practice exercises to enhance the learning experience.

5. Is it necessary to have prior knowledge of geometry before reading this book?

While some basic understanding of geometry concepts may be helpful, the book is designed to be accessible to readers with little to no prior knowledge. It starts with the fundamentals and gradually builds upon them to provide a thorough understanding of geometry.

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