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Dilation Station

Dilation Station
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2020-03-06 03:53
PolygonCoordinate GeometryTransformation
This example demonstrates how dilation changes the size of a figure. Key mathematical concepts include similarity transformation and scale factor. Using commands like Polygon, Dilate, and Segment, users can visually understand the principles of dilation. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Dilate(A, scale, D) → A'
  3. Dilate(B, scale, D) → B'
  4. Dilate(C, scale, D) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Segment(B, B') → d
  7. Segment(A, A') → e
  8. Segment(C, C') → f
  9. Segment(D, B) → g
  10. Segment(D, C) → h
  11. Segment(D, A) → i

AI Drawing Prompt Reference

Draw a triangle and then scale it from a point by a certain factor to create a new triangle. Connect the original triangle's vertices to the corresponding vertices of the scaled triangle, forming three lines. Also, connect the center point to each vertex of the original and scaled triangles, creating six additional lines. The final image should display the original triangle, the scaled triangle, and all connecting lines to illustrate similarity transformation and scaling.
The prompt above was compiled from the original drawing commands and is for reference only.