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

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SUMMARY

The discussion centers on the suitability of "Geometry" by Serge Lang and Gene Murrow as a comprehensive resource for a high school geometry course. The book covers essential topics such as distance, angles, proofs, polygons, and transformations, aligning well with high school algebra prerequisites. Participants express confidence in the book's ability to provide a solid foundation in geometry, making it a viable choice for educators and students alike.

PREREQUISITES
  • High-school algebra

None - suitable for all levels.

NEXT STEPS
  • Explore the applications of the Pythagorean Theorem in real-world scenarios.
  • Investigate the properties of congruent triangles and their proofs.
  • Learn about transformations in geometry, including reflections and rotations.
  • Study the concepts of vectors and dot products in higher-dimensional spaces.
USEFUL FOR

High school educators, students preparing for geometry courses, and anyone seeking a thorough understanding of geometric principles.

For those who have used this book

  • Strongly Recommend

    Votes: 0 0.0%
  • Lightly Recommend

    Votes: 0 0.0%
  • Lightly don't Recommend

    Votes: 0 0.0%

  • Total voters
    1
micromass
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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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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.
 

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