Triangle Dilation by Alex Dostal

Triangle Dilation by Alex Dostal
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2015-01-03 05:30
This GeoGebra example demonstrates triangle dilation (scaling) through geometric transformation. A fixed triangle ABC and center point O are used with a scale factor slider to dynamically generate the dilated triangle A'B'C'. Core mathematical concepts include geometric similarity, proportional reasoning, and transformation geometry. Construction employs GeoGebra commands such as Segment, Ray, Circle, and Intersect, along with objects A, B, C, O, and ScaleFactor. The interactive slider allows users to explore how the ratio affects size and position. Suitable for middle and high school geometry classes, it supports intuitive understanding of dilation properties and is ideal for classroom demonstrations or independent exploration of similarity and transformation concepts.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, C) → b
  3. Segment(C, B) → c
  4. Ray(O, B) → d
  5. Ray(O, A) → e
  6. Ray(O, C) → f
  7. Circle(O, ScaleFactor * Distance[O, B]) → g
  8. Intersect(g, d, 1) → B'
  9. Circle(O, ScaleFactor * Distance[O, A]) → h
  10. Intersect(h, e, 1) → A'
  11. Circle(O, ScaleFactor * Distance[O, C]) → k
  12. Intersect(k, f, 1) → C'
  13. Segment(C', A') → i
  14. Segment(B', C') → j
  15. Segment(B', A') → l