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Non-Dilation Transformation Demo

Non-Dilation Transformation Demo
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2016-04-15 23:01
PolygonTransformationGeometric Construction
This example demonstrates constructing non-dilation transformations using points and polygons in GeoGebra. It involves core math concepts like transformations, polygon construction, and intersection calculations. Key GeoGebra commands and objects used include Point, Intersect, Polygon, and Dilate. Suitable for high school mathematics education to understand geometric transformations and similarity.

GeoGebra Commands & Parameters

  1. Point(xAxis) → G
  2. Point(yAxis) → H
  3. Intersect(xAxis, yAxis) → I
  4. Intersect(xAxis, yAxis) → D_1
  5. Point(yAxis) → K
  6. Polygon(B, A, D, C) → poly1, b, a, d, c
  7. Point(xAxis) → L
  8. Dilate(B, 0.5, L) → B'
  9. Dilate(A, 0.5, L) → A'
  10. Dilate(D, 0.5, L) → D'
  11. Dilate(C, 0.5, L) → C'
  12. Polygon(B', A', D', C') → poly1', b', a', d', c'

AI Drawing Prompt Reference

Draw a quadrilateral ABCD, then shrink it by half with L as the center on the x-axis to get a new quadrilateral A'B'C'D'. First, take point G on the x-axis and point H on the y-axis, with their intersection at I; then take point K on the y-axis; next, construct quadrilateral ABCD with points B, A, D, and C; then take point L on the x-axis, and shrink each vertex of quadrilateral ABCD by 0.5 with L as the center to get new points B', A', D', and C'; finally, construct the new quadrilateral A'B'C'D' with these new points.
The prompt above was compiled from the original drawing commands and is for reference only.