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Triangle Transformations Example 5

Triangle Transformations Example 5
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2014-10-28 06:44
TriangleTransformationGeometric Construction
In collections Triangle Transformations Activity
This example demonstrates transformations of triangles, including similar triangles and homothety. Using commands like Vector, Segment, Line, Dilate, and Translate, dynamic observations of triangle properties and changes can be made. Suitable for teacher demonstrations and student practice.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → C_1
  2. Vector(C_1, C_2) → u
  3. Segment(B, F) → a
  4. Line(A_1, B_1) → b
  5. Dilate(B, 3, C_1) → E
  6. Dilate(F, 3, C_1) → C
  7. Segment(E, C) → a'
  8. Translate(E, u) → A
  9. Translate(C, u) → D
  10. Segment(A, D) → a''
  11. Polygon(B, F, G) → poly1, g, b_1, f
  12. Dilate(B, 3, C_1) → B'
  13. Dilate(F, 3, C_1) → F'
  14. Dilate(G, 3, C_1) → J
  15. Polygon(B', F', J) → poly1', g', b', f'
  16. Translate(B', u) → B''
  17. Translate(F', u) → F''
  18. Translate(J, u) → H
  19. Polygon(B'', F'', H) → poly1'', g'', b'', f''

AI Drawing Prompt Reference

Draw a triangle, then scale it by a factor of three from a point, and translate it by a vector to observe similar triangles and homothety. Next, translate the scaled triangle, scale it again by a factor of three, and translate it to observe the relationships of the transformed shapes.
The prompt above was compiled from the original drawing commands and is for reference only.