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The Fundamental Theorem of Similar Triangles

The Fundamental Theorem of Similar Triangles
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2016-12-21 23:39
TriangleTrigonometryGeometric Construction
This example illustrates the fundamental theorem of similar triangles. Key mathematical concepts include the properties of similar triangles. Using GeoGebra commands such as Rotate, Polygon, Segment, Angle, etc., multiple similar triangles are constructed. Suitable for students at the junior high school level and above to learn about similar triangles.

GeoGebra Commands & Parameters

  1. Rotate(B, 60°, A) → B'
  2. Polygon(A, B, C) → poly1, c, a, b
  3. Segment(A, C) → l
  4. Segment(C, B) → m
  5. Segment(B, A) → n
  6. Angle(B, A, B') → α
  7. Similartriangle(A, B, C, D, E) → poly2, H
  8. Similartriangle(A, B, C, D, F) → poly3, I
  9. Similartriangle(A, B, C, D, G) → poly4, J
  10. Segment(G, I) → f
  11. Segment(J, E) → g
  12. Segment(H, F) → h
  13. Midpoint(E, J) → K
  14. Midpoint(G, I) → L
  15. Midpoint(F, H) → M
  16. Polygon(L, K, M) → poly5, m_1, l_1, k