MathPlotAI Logo MathPlotAI

Similar Triangles and Dilation by Bruce Bauer

Similar Triangles and Dilation by Bruce Bauer
Loading the math board and drawing, please wait…
2015-12-16 01:33
TriangleTransformationGeometric Construction
This example demonstrates the properties and graphical changes of similar triangles under dilation transformation. Core math concepts include similarity criteria, dilation transformation, and geometric construction. It utilizes commands like Intersect, Circle, Point, Segment, Dilate, Rotate, Angle, Line, Polygon, Vector, and Translate from GeoGebra for construction. Suitable for high school mathematics teaching to understand the intrinsic connection between transformation geometry and similar figures.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, d_1) → c
  3. Point(c) → B
  4. Segment(A, B) → a_2
  5. Circle(B, e) → f
  6. Dilate(A, d, A) → A'_1
  7. Dilate(B, d, A) → B'
  8. Rotate(A, angleB, B) → A'_2
  9. Angle(A, B, A'_2) → β
  10. Line(B, A'_2) → b
  11. Intersect(f, b, 2) → C
  12. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  13. Dilate(A, d, A) → A'
  14. Dilate(B, d, A) → B'_1
  15. Dilate(C, d, A) → C'
  16. Polygon(A', B'_1, C') → poly1', c', a', b'_1
  17. Vector(F, G) → v
  18. Translate(A', v) → K
  19. Translate(B'_1, v) → H
  20. Translate(C', v) → J
  21. Polygon(K, H, J) → poly1'', c'', a'', h
  22. Angle(B, C, A) → α
  23. Angle(K, H, J) → γ
  24. Angle(H, J, K) → δ