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Dilation Exploration by scrandall

Dilation Exploration by scrandall
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2015-10-05 09:36
PolygonTransformationGeometric Construction
This example demonstrates the scaling effect of a polygon through central similarity transformation in a coordinate system. It involves core math concepts like similarity transformation, similarity, reflection, linear programming, and perimeter. Key GeoGebra commands/objects used include Polygon, Intersect, Textfield, Dilate, and Segment. Suitable for high school students learning geometric transformations, similarity, and optimization problems.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → poly1, AB, BC, CD, DE, EA
  2. Intersect(xAxis, yAxis) → F
  3. Textfield() → InputBox1
  4. Dilate(A, k, F) → A'
  5. Dilate(B, k, F) → B'
  6. Dilate(C, k, F) → C'
  7. Dilate(D, k, F) → D'
  8. Dilate(E, k, F) → E'
  9. Polygon(A', B', C', D', E') → poly1', A'B', B'C', C'D', D'E', E'A'
  10. Segment(A, F) → FA
  11. Segment(A', F) → FA'
  12. Segment(E, F) → FE
  13. Segment(E', F) → FE'
  14. Segment(D, F) → FD
  15. Segment(D', F) → FD'
  16. Segment(C, F) → FC
  17. Segment(C', F) → FC'
  18. Segment(B, F) → FB
  19. Segment(B', F) → FB'