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Effects of Changes on the Area of a Parallelogram

Effects of Changes on the Area of a Parallelogram
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2024-02-06 18:07
PolygonGeometric Construction
In collections Parallelogramm und Raute: Flächeninhalt
This example demonstrates how the area of a parallelogram changes with modifications to its side lengths and height. Key math concepts include the area formula (base×height) and proportional relationships. GeoGebra commands like Textfield, SpeechBubbleLeft, Sequence, Point, Element, SelectedIndex, If, Segment, Text, Mirror, and Angle are used in its construction. It is suitable for 5-6 grade students to understand and apply the area formula for parallelograms.

GeoGebra Commands & Parameters

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Textfield(input3) → InputBox3
  4. Textfield(input4) → InputBox4
  5. SpeechBubbleLeft(E, 10.5, 2) → Vieleck1
  6. Sequence(F + (i * Vector[F, H] / 2), i, -2, 10) → HorizontalPunkte
  7. Point(Para1Kanten) → O
  8. Point(Para2Kanten) → P
  9. Element(MatrixSol, schiebh + 1, schieba + 1) → ddsol
  10. SelectedIndex(DD) → index1
  11. SelectedIndex(DD00) → index00
  12. SelectedIndex(DD01) → index01
  13. SelectedIndex(DD02) → index02
  14. SelectedIndex(DD03) → index03
  15. SelectedIndex(DD10) → index10
  16. SelectedIndex(DD12) → index12
  17. SelectedIndex(DD20) → index20
  18. SelectedIndex(DD22) → index22
  19. SelectedIndex(DD30) → index30
  20. SelectedIndex(DD32) → index32
  21. SelectedIndex(DD33) → index33
  22. SelectedIndex(DD13) → index13
  23. SelectedIndex(DD11) → index11
  24. SelectedIndex(DD23) → index23
  25. SelectedIndex(DD31) → index31
  26. SelectedIndex(DD21) → index21
  27. If(mode00, index00, mode11, index11, mode12, index12, mode13, index13, mode20, index20, mode21, index21, mode01, mode22, index22, mode23, index23, mode30, index30, mode31, index31, mode32, index32, index01, mode33, index33, mode02, index02, mode03, index03, mode10, index10) → indexmaster
  28. SpeechBubbleLeft(Q, 11.5, 1.6) → Vieleck2
  29. Segment(K, L) → h
  30. Segment(L, HelperP) → i
  31. Text(Text5, Midpoint[K, L] - (0, 0.2), false, true, 0, 0) → Text6
  32. Mirror(S, R) → S'
  33. Mirror(R, V) → R'
  34. Sequence(F - Vector[F, H] + (i * Vector[V, O]), i, 0, 4) → VertikalPunkte
  35. Sequence(Segment[HorizontalPunkte(i), HorizontalPunkte(i) + Vector[VertikalPunkte(1), Element[Last[VertikalPunkte], 1]]], i, 1, Length[HorizontalPunkte]) → CoordSysY
  36. Sequence(Segment[VertikalPunkte(i), VertikalPunkte(i) + Vector[HorizontalPunkte(1), Element[Last[HorizontalPunkte], 1]]], i, 1, Length[VertikalPunkte]) → CoordSysX
  37. If(step < 8, 2, 3) → maxschieb
  38. Segment(G, (x(G), y(H))) → f
  39. Segment(M, (x(M), y(K))) → g
  40. SpeechBubbleLeft(W, 10, 1) → Vieleck3
  41. Angle(ParaStart2, I, ParaStart3) → α
  42. Angle(F + (10, 0), (x(G), y(H)), G) → γ
  43. Angle(K + (10, 0), (x(M), y(K)), M) → β
  44. If(mode00, "DD00", mode11, "DD11", mode12, "DD12", mode13, "DD13", mode20, "DD20", mode21, "DD21", mode01, mode22, "DD22", mode23, "DD23", mode30, "DD30", mode31, "DD31", mode32, "DD32", "DD01", mode33, "DD33", mode02, "DD02", mode03, "DD03", mode10, "DD10") → Text14

AI Drawing Prompt Reference

Draw a parallelogram on a coordinate plane and place three input boxes to control key geometric parameters, with a speech-bubble label for the figure. Construct its four vertices by linking a base side and the corresponding translated side so the shape updates with the inputs. Add a base-and-height style reference: draw segments that indicate the relationship between a chosen base edge and the height direction. Include angle markers to show the orientation between the parallelogram’s sides and the baseline direction, labeled α, β, and γ. Add text labels near the relevant points to clarify the diagram and keep the layout readable.
The prompt above was compiled from the original drawing commands and is for reference only.