MathPlotAI Logo MathPlotAI

Transformations: Exercise 3

Transformations: Exercise 3
Loading the math board and drawing, please wait…
2017-04-03 06:26
Coordinate GeometryTransformationGeometric Construction
This example demonstrates geometric transformations including reflection, rotation, and translation of points, lines, and polygons. Key math concepts involve geometric transformations, symmetry, rotation angles, and translation vectors. It uses commands like Line, Ray, Point, Polygon, Rotate, Vertex, Segment for construction. Suitable for high school mathematics education to understand and practice basic geometric transformation operations.

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