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Perimeter and Similarity Transformation

Perimeter and Similarity Transformation
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2018-11-16 17:44
Coordinate GeometryTransformationParametric EquationGeometric Construction
This example demonstrates the construction of geometric figures and calculation of perimeters using GeoGebra, focusing on the impact of similarity transformations on perimeter. Core math concepts include perimeter calculation, similarity transformation, straight lines, special points, and parametric curves. Construction highlights include commands like Segment, Line, OrthogonalLine, Intersect, Point, and Circle as per the summary. Suitable for high school students learning geometric transformations, similar figures, and parametric equations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Line(I, J) → h
  4. Line(K, L) → i
  5. Line(M, N) → j
  6. OrthogonalLine(B, f) → k
  7. Intersect(h, k) → D
  8. Point(h) → Slide
  9. OrthogonalLine(Slide, h) → l
  10. Intersect(i, l) → F
  11. Segment(Slide, D) → p
  12. Segment(B, D) → q
  13. Segment(Slide, F) → r
  14. Circle(F, 3) → c
  15. Intersect(c, i, 2) → G
  16. OrthogonalLine(G, i) → m
  17. Intersect(j, m) → H
  18. Segment(C, H) → n
  19. Segment(G, H) → s
  20. Segment(F, G) → t