#12, #13, #14 Graphic Organizer: Exploring Angles, Area, Perimeter, and Transfor

#12, #13, #14 Graphic Organizer: Exploring Angles, Area, Perimeter, and Transfor
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2017-11-06 22:40
This GeoGebra example is a comprehensive graphic organizer designed to illustrate the interconnections among multiple geometric concepts, including angles, area, perimeter, ratios, and transformations such as reflection and dilation. It features a rich set of objects labeled A1 through A23, B1, C1, C2, E1 through E9, F1, G1, H1, J1, and K1, which likely represent points, polygons, angle markers, and auxiliary lines. The core mathematical ideas involve geometric measurements (angles, area, perimeter), proportional reasoning, and geometric transformations. The construction leverages GeoGebra's point, line, polygon, and transformation tools to create a dynamic and interactive diagram, possibly with sliders to explore variations. This resource is ideal for middle or high school mathematics classrooms, helping students organize and visualize geometric relationships, and serving as a study aid or interactive worksheet for reviewing key concepts.

GeoGebra Commands & Parameters

  1. 3
  2. A2 + 1
  3. A3 + 1
  4. A4 + 1
  5. A5 + 1
  6. A6 + 1
  7. A7 + 1
  8. A8 + 1
  9. A9 + 1
  10. A10 + 1
  11. A11 + 1
  12. A12 + 1
  13. A13 + 1
  14. A14 + 1
  15. A15 + 1
  16. A16 + 1
  17. A17 + 1
  18. A18 + 1
  19. A19 + 1
  20. A20 + 1
  21. A21 + 1
  22. A22 + 1
  23. 3
  24. E2 + 1
  25. E3 + 1
  26. E4 + 1
  27. E5 + 1
  28. E6 + 1
  29. E7 + 1
  30. E8 + 1
  31. 10
  32. J2 + 10
  33. J3 + 10
  34. J4 + 10
  35. J5 + 10
  36. ((300 / A2)^(2) * A2 / ((4 * tan(π / A2))))
  37. ((300 / A3)^(2) * A3 / ((4 * tan(π / A3))))
  38. ((300 / A4)^(2) * A4 / ((4 * tan(π / A4))))
  39. B3 - B2
  40. B4 - B3
  41. 360 / E2
  42. 180 - F2
  43. (G2 * E2)