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Enlargement Game - Find the Image - Positive Scale Factor Only

Enlargement Game - Find the Image - Positive Scale Factor Only
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2019-10-16 16:48
PolygonTransformationGeometric ConstructionSlider Animation
This example demonstrates the process of finding the image of a shape after dilation with a positive scale factor. Core math concepts include dilation, scale factor, and polygon construction. It utilizes GeoGebra commands and objects like Polygon, Dilate, Segment, Vector, Sequence, Line. Suitable for middle school and above students to learn and understand properties of geometric transformations, ideal for classroom instruction or self-study.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Polygon(H, I, M) → poly2, m_1, h_1, i_1
  3. Dilate(A, sf, O) → A'
  4. Dilate(B, sf, O) → B'
  5. Dilate(C, sf, O) → C'
  6. Segment(O, A) → f
  7. Segment(O, B) → g
  8. Segment(O, C) → h
  9. Segment(O, A') → i
  10. Segment(O, B') → j
  11. Segment(O, C') → k
  12. Vector(O, F) → u
  13. Vector(O, G) → v
  14. Vector(O, J) → w
  15. Sequence(Polygon[((((sf - 1) * k / nt) + 1) * (A - O)) + O, ((((sf - 1) * k / nt) + 1) * (B - O)) + O, ((((sf - 1) * k / nt) + 1) * (C - O)) + O], k, 1, floor((nt * t))) → list1
  16. Line(K, L) → l
  17. Line(N, P) → m
  18. Polygon(Dilate[A, (t * (sf - 1)) + 1, O], Dilate[B, (t * (sf - 1)) + 1, O], Dilate[C, (t * (sf - 1)) + 1, O]) → poly3, n, p, q