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Similar Quadrilaterals by Dennis Boggs

Similar Quadrilaterals by Dennis Boggs
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2017-11-27 09:41
PolygonTransformationGeometric Construction
This example demonstrates the properties of similar quadrilaterals. Key mathematical concepts include the definition and properties of similar polygons. Using GeoGebra commands such as Point, Circle, Intersect, etc., similar quadrilaterals can be constructed. Suitable for students at the junior high school level and above to learn about similar figures.

GeoGebra Commands & Parameters

  1. Point(xAxis) → J
  2. Circle(J, b_1) → circle_{p1}
  3. Intersect(circle_{p1}, xAxis, 2) → L
  4. Segment(J, L) → g_1
  5. Circle(L, a_1) → circle_{p2}
  6. Circle(J, c_1) → circle_{p3}
  7. Intersect(circle_{p2}, circle_{p3}, 2) → K
  8. Segment(J, K) → f
  9. Segment(L, K) → k
  10. Circle(J, e_1) → p
  11. Circle(L, d_1) → q
  12. Intersect(p, q, 2) → M
  13. Segment(J, M) → r
  14. Segment(M, L) → s
  15. Point(xAxis) → A
  16. Circle(A, b) → t
  17. Intersect(t, xAxis, 2) → C
  18. Circle(C, a) → h
  19. Circle(A, c) → c_1
  20. Intersect(h, c_1, 2) → B
  21. Segment(C, B) → i
  22. Segment(B, A) → l
  23. Segment(A, C) → m
  24. Circle(A, e) → f_1
  25. Circle(C, d) → h_1
  26. Intersect(f_1, h_1, 2) → D
  27. Segment(D, C) → n
  28. Segment(A, D) → j