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Matrix Transformations Demo by Gareth Daniels

Matrix Transformations Demo by Gareth Daniels
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2013-11-21 14:59
MatrixTransformationGeometric Construction
This example demonstrates matrix transformations by visualizing how they affect the unit square, illustrating the derivation process. Key math concepts include matrices, reflections, rotations, ratios, and limits. Constructed using GeoGebra commands like Polygon, Textfield, If, and Segment with objects such as A, B, C, D, matrix1, etc. Suitable for high school and above students to explore geometric applications of matrix transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, seg1, seg2, seg3, seg4
  2. Textfield(a) → inputBox1
  3. Textfield(b) → inputBox2
  4. Textfield(c) → inputBox3
  5. Textfield(d) → inputBox4
  6. Polygon(A', B', C', D') → poly2, a', b', c', d'
  7. If(zoom > 0, 28 * 1.5^(abs(zoom)), If[zoom < 0, 28 * (2 / 3)^(abs(zoom)), 28]) → length
  8. If(zoom > 0, 1.5^(abs(zoom)) * (-4), If[zoom < 0, (2 / 3)^(abs(zoom)) * (-4), -4]) → top
  9. If(zoom > 0, 1.5^(abs(zoom)) * (-7), If[zoom < 0, (2 / 3)^(abs(zoom)) * (-7), -7]) → bot
  10. Polygon(E, F, H, G) → poly3, e, f, g, h
  11. Segment(I, J) → i
  12. Segment(J, K) → j
  13. Segment(K, L) → k
  14. Segment(L, I) → l
  15. Segment(M, N) → m
  16. Segment(O, N) → n
  17. Segment(O, P) → p
  18. Segment(M, P) → q