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Transformation Matrices by henry

Transformation Matrices by henry
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2015-03-19 09:34
VectorMatrixTransformation
This example demonstrates the concept of transformation matrices. By dragging the images of unit vectors, a matrix is defined and its effect on the figure is observed. The construction uses commands like Segment and Polygon, involving vectors and transformations. Suitable for secondary school mathematics education.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Segment(C, D) → c
  4. Segment(D, A) → d
  5. Segment(A', B') → e
  6. Segment(B', C') → f
  7. Segment(C', D') → g
  8. Segment(D', A') → h
  9. Polygon(O, X', XY, Y') → poly1, i, k, l, m
  10. Polygon(A, B, C, D) → poly2, a_1, b_1, c_1, d_1
  11. Polygon(A', B', C', D') → poly3, a', b', c', d'
  12. Segment((A + B + C + D) / 4, (A' + B' + C' + D') / 4) → j
  13. Polygon((0, 0), (1, 0), (1, 1), (0, 1)) → poly4, n, p, q, r
  14. Segment((1, 0), X') → s
  15. Segment((0, 1), Y') → t