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Rotate Parallelograms

Rotate Parallelograms
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2017-09-23 11:20
PolygonTransformationGeometric Construction
This example demonstrates how to rotate parallelograms to explore their properties. Key mathematical concepts include the properties of parallelograms, rotation transformations, and geometric construction. Using GeoGebra commands such as Rotate, Polygon, and Mirror, the dynamic rotation of parallelograms is showcased. Suitable for middle school and above students to learn about geometric transformations and figure properties.

GeoGebra Commands & Parameters

  1. Circle(C, D, E) → c
  2. Center(c) → F
  3. Line(G, H) → a
  4. Line(F, a) → b
  5. Mirror(a, b) → a'
  6. Point(a') → I
  7. Line(I, J) → d
  8. Line(F, d) → e
  9. Mirror(d, e) → d'
  10. Intersect(a, d) → K
  11. Intersect(a', d') → L
  12. Polygon(G, K, I, L) → poly1, g, k, i, l
  13. Rotate(G, α, F) → G'
  14. Rotate(K, α, F) → K'
  15. Rotate(I, α, F) → I'
  16. Rotate(L, α, F) → L'
  17. Polygon(G', K', I', L') → poly1', g', k', i', l'
  18. Rotate(G, α, F) → G'_1