Elementary College Geometry

by Henry Africk

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This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems.

Description from LibreTexts.

Publisher
CUNY New York City College of Technology
Subjects
Mathematics, Geometry
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. About this Book
  6. Licensing
  7. Preface
  8. 1: Lines, Angles, and Triangles
  9. 1.1: Lines
  10. 1.2: Angles
  11. 1.3: Angle Classifications
  12. 1.4: Parallel Lines
  13. 1.5: Triangles
  14. 1.6: Triangle CIassifications
  15. 2: Congruent Triangles
  16. 2.1: The Congruence Statement
  17. 2.2: The SAS Theorem
  18. 2.3: The ASA and AAS Theorems
  19. 2.4: Proving Lines and Angles Equal
  20. 2.5: Isosceles Triangles
  21. 2.6: The SSS Theorem
  22. 2.7: The Hyp-Leg Theorem and Other Cases
  23. 3: Quadrilaterals
  24. 3.1: Parallelograms
  25. 3.2: Other Quadrilaterals
  26. 4: Similar Triangles
  27. 4.1: Proportions
  28. 4.2: Similar Triangles
  29. 4.3: Transversals to Three Parallel Lines
  30. 4.4: Pythagorean Theorem
  31. 4.5: Special Right Triangles
  32. 4.6: Distance from a Point to a Line
  33. 5: Trigonometry and Right Triangles
  34. 5.1: The Trigonometric Functions
  35. 5.2: Solution of Right Triangles
  36. 5.3: Applications of Trigonometry
  37. 6: Area and Perimeter
  38. 6.1: The Area of a Rectangle and Square
  39. 6.2: The Area of a Parallelogram
  40. 6.3: The Area of a Triangle
  41. 6.4: The Area of a Rhombus
  42. 6.5: The Area of a Trapezoid
  43. 7: Regular Polygons and Circles
  44. 7.1: Regular Polygons
  45. 7.2: Circles
  46. 7.3: Tangents to the Circle
  47. 7.4: Degrees in an Arc
  48. 7.5: Circumference of a Circle
  49. 7.6: Area of a Circle
  50. Back Matter
  51. Index
  52. APPENDIX - Proof of the Z Theorem
  53. BIBLIOGRAPHY
  54. Values of the Trigonometric Functions
  55. Answers to Odd Numbered Problems
  56. LIST OF SYMBOLS
  57. Detailed Licensing