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Similarity Transformation Tile Pattern

Similarity Transformation Tile Pattern
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2018-06-25 11:37
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the expansion of a 2x5 tile pattern to a 6x9 frame using similarity transformation. It involves core math concepts like similarity, rotation, and unit circle. Construction uses commands/objects such as Circle, Point, Segment, OrthogonalLine, Intersect, Line, Distance, Polygon. Suitable for high school students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Circle(A, 9) → c
  2. Point(c) → B
  3. Segment(A, B) → f
  4. OrthogonalLine(A, f) → g
  5. Circle(A, 6) → d
  6. Intersect(d, g) → C, D
  7. OrthogonalLine(D, g) → h
  8. Line(B, g) → i
  9. Intersect(h, i) → E
  10. Distance(g, f) → a
  11. Segment(A, D) → j
  12. Distance(A, D) → distanceAD
  13. Segment(D, E) → k
  14. Segment(B, E) → l
  15. Polygon(D, A, B, E) → q1, d_1, a_1, b, e
  16. Line(F, k) → m
  17. Point(m) → G
  18. Distance(F, G) → distanceFG
  19. OrthogonalLine(F, m) → n
  20. Point(n) → H
  21. Distance(F, H) → distanceFH