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Calculating Parallelogram Area

Calculating Parallelogram Area
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2024-02-06 18:06
PolygonCoordinate GeometryGeometric Construction
In collections Parallelogramm und Raute: Flächeninhalt
This example demonstrates how to calculate the area of a parallelogram by dividing and combining it into triangles. Key math concepts include the parallelogram area formula, triangle area calculation, geometric transformations, and decomposition. It uses GeoGebra commands/objects like Textfield, Point, Polygon, PointIn, Spline, SelectedIndex, Vertex, Translate, Text for creating graphics, text, and interactive elements. Suitable for 5-6th grade students to learn and apply the parallelogram area formula.

GeoGebra Commands & Parameters

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Textfield(input3) → InputBox3
  4. Textfield(input4) → InputBox4
  5. Point(KantenParallelogramm) → E
  6. Point(KantenParallelogramm) → F
  7. Polygon(A, E, D) → Area1, d, a, e
  8. Polygon(D, F, B, E) → Area2, d_1, f, b, e_1
  9. Polygon(F, C, B) → Area3, b_1, f_1, c
  10. Polygon(BoundaryP1, BoundaryP2, BoundaryP3, BoundaryP4) → Boundary, boundaryp1, boundaryp2, boundaryp3, boundaryp4
  11. PointIn(Boundary) → TriBlueAnchor
  12. PointIn(Boundary) → TriCyanAnchor
  13. PointIn(Boundary) → RectGrayAnchor
  14. PointIn(Boundary) → RectLilaAnchor
  15. PointIn(Boundary) → RectOrangeAnchor
  16. PointIn(Boundary) → RectGreenAnchor
  17. Spline({D, SplineMidOrange, RectOrangeAnchor}, 3) → h
  18. Spline({C, SplineMidCyan, TriCyanAnchor}, 3) → i
  19. SelectedIndex(DD1) → Index1
  20. SelectedIndex(DD2) → Index2
  21. Spline({D, SplineMidBlue, TriBlueAnchor}, 3) → g
  22. Spline({TriCyanAnchor, Midpoint[TriCyanAnchor, TriBlueAnchor], TriBlueAnchor}, 3) → j
  23. Vertex(PolyAnimBlue(1), 1) → PolyAnimBlueP
  24. Vertex(PolyAnimCyan(1), 1) → PolyAnimCyanP
  25. Vertex(PolyAnimOrange(1), 1) → PolyAnimOrangeP
  26. Translate(l1, (0, -13.5)) → l1'
  27. Text("\textsf{A_1}", O, false, true, 0, 0) → Text8
  28. Text("\textsf{A_3}", M, false, true, 0, 0) → Text9
  29. Text((("\textsf{\textcolor{" * ColorText) * "}{A_2}"), N, false, true, 0, 0) → Text10

AI Drawing Prompt Reference

Draw an example parallelogram area decomposition on a coordinate plane. First place four vertices and connect them to form the parallelogram boundary. Then partition the interior into several polygon regions: three triangular regions and an overall enclosing boundary region. Show each region with its own polygon outline. Add clear text labels for the area of the different subregions using A-style symbols with different indices, using distinct text coloring or placement to help differentiate the parts. Construct the figure in a natural order: boundary first, then internal partition polygons, then the area annotations.
The prompt above was compiled from the original drawing commands and is for reference only.