MathPlotAI Logo MathPlotAI

Similar Triangles by Mr. Geary

Similar Triangles by Mr. Geary
Loading the math board and drawing, please wait…
2017-02-14 05:44
TriangleTransformationGeometric Construction
This example demonstrates the properties of similar triangles. It involves key mathematical concepts such as the definition and properties of similar triangles. Using GeoGebra commands like Segment, Angle, Point, Rotate, Line, and Intersect, similar triangles can be constructed. Suitable for middle and high school students to learn about similar triangles.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Segment(C, B) → h
  4. Angle(B, A, C) → α
  5. Angle(C, B, A) → β
  6. Angle(A, C, B) → γ
  7. Point(Circle[D, (a * Distance[A, B])]) → E
  8. Segment(D, E) → i
  9. Rotate(E, Angle[B, A, C], D) → E'
  10. Angle(E, D, E') → δ
  11. Line(D, E') → j
  12. Rotate(D, Angle[A, B, C], E) → D'
  13. Angle(D, E, D') → ε
  14. Line(E, D') → k
  15. Intersect(j, k) → G
  16. Segment(E, G) → l
  17. Segment(G, D) → m
  18. Angle(G, E, D) → ζ
  19. Angle(D, G, E) → η