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Sliding Transformation

Sliding Transformation
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2019-12-06 03:46
PolygonTransformationSlider Animation
This example demonstrates sliding transformations of polygons. Key mathematical concepts include polygons, transformations, and slider animation. Using GeoGebra commands such as Line, OrthogonalLine, Rotate, and Intersect, a dynamic process of polygon transformation is constructed. Suitable for middle school and above students or teachers for geometry instruction.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. OrthogonalLine(B, f) → g
  3. Rotate(B, α, A) → B'
  4. Line(B', A) → h
  5. Intersect(g, h) → C
  6. Segment(C, A) → i
  7. Line(D, A) → j
  8. Angle(B, A, C) → α_{1}
  9. Rotate(D, (-(40°)), A) → D'_1
  10. Ray(A, D'_1) → l
  11. Intersect(g, j) → E
  12. Segment(C, E) → k
  13. Point(j) → F
  14. Line(F, k) → m
  15. OrthogonalLine(C, m) → n
  16. Intersect(m, n) → G

AI Drawing Prompt Reference

Draw a horizontal line with two fixed points on it. From the second point, construct a perpendicular line. Rotate the second point around the first point by a variable angle to get a rotated point. Connect the rotated point to the first point, and intersect this line with the perpendicular to get a point. Connect this intersection to the first point with a segment. From another point, draw a line to the first point, intersecting the perpendicular at another point. Connect the two intersection points with a segment. Pick a point on the horizontal line, draw a line through it parallel to the last segment, then construct a perpendicular to this parallel line from the intersection point, meeting at a new point. The whole figure shows a sliding transformation of a polygon as the angle changes.
The prompt above was compiled from the original drawing commands and is for reference only.