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Transformations Exercise 3: Graphic Transformations

Transformations Exercise 3: Graphic Transformations
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2016-08-05 11:41
VectorTransformationGeometric Construction
In collections Transformations/Symmetry
This example demonstrates the concept of graphic transformations, involving core mathematical concepts such as vectors and rotation. Using GeoGebra commands like Line, Ray, Point, Polygon, Rotate, etc., the transformed graphics can be constructed. Suitable for middle school students to learn about geometric transformations.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Ray(A, B) → g
  3. Point(f) → P
  4. Point(f) → Q
  5. Polygon(A, B, n) → poly1, h, C, D, E, F, H, I, J, i, j, k, l, m, p, q, r
  6. Rotate(poly1, α, G) → poly1'
  7. Vertex(poly1') → K, L, M, N, O, R, K_1, K_2, K_3
  8. Segment(M, L) → s
  9. Segment(L, K) → t
  10. Segment(K, R) → a
  11. Segment(R, O) → b
  12. Segment(O, N) → c
  13. Segment(N, M) → d
  14. Segment(N, K) → e
  15. Segment(M, K) → f_1
  16. Segment(K, O) → g_1
  17. Segment(R, K_1) → h_1
  18. Segment(K_1, K) → i_1
  19. Segment(K_1, K_2) → j_1
  20. Segment(K_2, K) → k_1
  21. Segment(K_2, K_3) → l_1
  22. Segment(K_3, K) → m_1

AI Drawing Prompt Reference

Draw a line segment and a ray starting from the same point. Take two points on the line segment and connect them with the endpoint of the ray to form a polygon. Rotate this polygon around a point by a certain angle to get a new polygon. Connect the diagonals of the new polygon to form several small triangles and label the segments and points.
The prompt above was compiled from the original drawing commands and is for reference only.