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Rotation Transformation Demo by Jessica Lampert

Rotation Transformation Demo by Jessica Lampert
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2017-11-11 02:11
PolygonVectorTransformationGeometric Construction
This example demonstrates the rotation transformation of points, segments, and polygons in a 2D plane. It involves core mathematical concepts such as rotation, central symmetry, vectors, and polygon properties. The construction uses GeoGebra commands/objects like Point, Segment, Circle, Angle, Polygon, Rotate, and Vector. Suitable for high school students learning geometric transformations and their applications.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Segment(A, B) → f
  3. Circle(A, B) → c
  4. Point(c) → Move
  5. Segment(A, Move) → g
  6. Angle(B, A, Move) → α
  7. Point(xAxis) → D
  8. Polygon(E, F, G, H) → poly1, e, f_1, g_1, h
  9. Rotate(E, α, D) → E'
  10. Rotate(F, α, D) → F'
  11. Rotate(G, α, D) → G'
  12. Rotate(H, α, D) → H'
  13. Polygon(E', F', G', H') → poly1', e', f', g', h'
  14. Vector(A, Move) → u
  15. Vector(A, B) → v
  16. Vector(D, E) → w
  17. Vector(D, E') → a
  18. Angle(E, D, E') → β

AI Drawing Prompt Reference

Draw point B and point A, then connect A and B to form segment f. Construct a circle c with B as the center and move a point on the circle to form segment g. Measure angle BAM as angle α. Take point D on the x-axis and draw quadrilateral EFGH, then rotate EFGH around point D to form E'F'G'H'. Measure vectors u, v, w, and w', and calculate angle β.
The prompt above was compiled from the original drawing commands and is for reference only.