MathPlotAI Logo MathPlotAI

Explore Dilations by TheMsByrne

Explore Dilations by TheMsByrne
Loading the math board and drawing, please wait…
2017-12-22 22:16
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the concept of dilations. By adjusting the center of dilation and the scale factor, you can observe the similarity of shapes. Key mathematical concepts include similarity transformations, geometric construction, and proportional relationships. Commands used include Segment, Dilate, Ray, Distance, Point, and Midpoint. Suitable for middle school and above students to learn about similarity transformations and geometric construction.

GeoGebra Commands & Parameters

  1. Segment(P, Q) → f
  2. Segment(Q, R) → g
  3. Segment(R, P) → h
  4. Dilate(P, k, O) → P'
  5. Dilate(Q, k, O) → Q'
  6. Dilate(R, k, O) → R'
  7. Segment(P', R') → i
  8. Segment(P', Q') → j
  9. Segment(R', Q') → k_1
  10. Ray(O, P) → l
  11. Ray(O, Q) → m
  12. Ray(O, R) → n
  13. Distance(O, P) → distanceAB
  14. Distance(O, P') → distanceAB'
  15. Point(h) → A
  16. Segment(Q, A) → p
  17. Dilate(A, k, O) → A'
  18. Ray(O, A) → q
  19. Segment(Q', A') → r
  20. Distance(P, Q) → distancePQ
  21. Midpoint(P, Q) →
  22. Distance(P', Q') → distanceP'Q'
  23. Midpoint(P', Q') →