MathPlotAI Logo MathPlotAI

Kite and Square

Kite and Square
Loading the math board and drawing, please wait…
2015-05-05 03:45
PolygonAngleGeometric Construction
This example demonstrates the geometric properties and relationships between kites and squares; core math concepts include polygons, angles, distances, and geometric constructions; constructed using commands like Segment, OrthogonalLine, Circle, Intersect, Angle, Distance, Point, and Midpoint in GeoGebra; suitable for high school mathematics teaching to understand the properties and construction methods of special quadrilaterals.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. Circle(A, B) → c
  4. Intersect(c, b, 2) → C
  5. OrthogonalLine(C, b) → d
  6. OrthogonalLine(B, a) → e
  7. Intersect(d, e) → D
  8. Segment(C, A) → f
  9. Segment(D, B) → g
  10. Segment(C, D) → h
  11. Angle(C, D, B) → α
  12. Angle(D, B, A) → β
  13. Angle(B, A, C) → γ
  14. Angle(A, C, D) → δ
  15. Distance(C, D) → distanceCD
  16. Distance(A, B) → distanceAB
  17. Distance(D, B) → distanceDB
  18. Distance(C, A) → distanceCA
  19. Circle(E, F) → k
  20. Segment(G, H) → i
  21. Point(i) → I
  22. OrthogonalLine(I, i) → j
  23. Circle(I, G) → p
  24. Intersect(p, j, 2) → J
  25. Intersect(p, j, 1) → K
  26. Segment(K, H) → l
  27. Segment(H, J) → m
  28. Segment(J, G) → n
  29. Segment(G, K) → q
  30. Point(j) → L
  31. Distance(G, J) → distanceGJ
  32. Midpoint(G, J) →
  33. Distance(J, H) → distanceJH
  34. Midpoint(J, H) →
  35. Distance(H, K) → distanceHK
  36. Midpoint(H, K) →
  37. Distance(G, i) → distanceGi
  38. Midpoint(G, ClosestPoint[i, G]) →