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Determine if Two Shapes are Dilated Images of Each Other

Determine if Two Shapes are Dilated Images of Each Other
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2016-11-03 03:44
Coordinate GeometryTransformationGeometric Construction
In collections Dilation and Similarity Project: Part One
This example demonstrates how to determine if two shapes are dilated images of each other. Key mathematical concepts include similarity transformations, scale factors, and geometric construction. It uses commands like Polygon, Dilate, Line, and Point in GeoGebra. Suitable for middle school and above students to learn about similarity transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
  2. Dilate(A, 2, F) → A'
  3. Dilate(B, 2, F) → B'
  4. Dilate(C, 2, F) → C'
  5. Dilate(D, 2, F) → D'
  6. Dilate(E, 2, F) → E'
  7. Polygon(A', B', C', D', E') → poly1', a', b', c', d', e'
  8. Line(C', C) → f
  9. Line(D', D) → k
  10. Line(E', E) → l
  11. Line(A', F) → m
  12. Line(B', F) → n
  13. Point(n) → G
  14. Point(m) → H
  15. Point(l) → I
  16. Point(k) → J
  17. Point(f) → K
  18. Polygon(G, K, J, I, H) → poly3, g, k_1, j, i, h
  19. Polygon(L, M, N, O, P) → poly2, l_1, m_1, n_1, o, p
  20. Line(L, A) → q
  21. Line(M, B) → r
  22. Line(P, E) → s
  23. Line(O, D) → t
  24. Line(N, C) → u