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Triangle Dilation

Triangle Dilation
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2017-07-26 03:29
TriangleGeometric Construction
This example demonstrates the process of dilating a triangle in a coordinate system. Core math concepts include dilation transformation, similar triangles, and geometric construction. Key GeoGebra commands/objects used are Polygon, Midpoint, Segment, Intersect, and Dilate. Suitable for high school students learning geometric transformations and similar figures.

GeoGebra Commands & Parameters

  1. Polygon(A, C, B) → poly1, b, a, c
  2. Polygon(Y, Z, X) → poly2, D, E, z_1
  3. Midpoint(c) → F
  4. Midpoint(b) → G
  5. Midpoint(a) → H
  6. Segment(F, C) → f
  7. Segment(A, H) → g
  8. Segment(G, B) → h
  9. Intersect(f, g) → I
  10. Dilate(A, d, I) → A'
  11. Dilate(C, d, I) → C'
  12. Dilate(B, d, I) → B'
  13. Polygon(A', C', B') → poly1', b', a', c'