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Mario's Jump (Indirect Measurement with Similar Triangles)

Mario's Jump (Indirect Measurement with Similar Triangles)
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2015-10-26 06:09
TriangleTransformationGeometric Construction
This example demonstrates indirect measurement using similar triangles. Key mathematical concepts include the properties of similar triangles. Using commands like Rotate, Angle, Polygon, Segment, etc., a model of similar triangles is constructed. Suitable for middle school and above students to learn the application of similar triangles.

GeoGebra Commands & Parameters

  1. Rotate(B, -90*°, E) → B'
  2. Angle(B', E, B) → α
  3. Polygon(B, E, B') → poly1, b', b, e
  4. Angle(B, B', E) → β
  5. Rotate(F, -45*°, B') → F'
  6. Angle(F', B', F) → γ
  7. Segment(B', F) → a
  8. Polygon(B', F, G) → poly2, g, b'_1, f
  9. Rotate(B', -90*°, G) → B''
  10. Angle(B'', G, B') → δ
  11. Segment(Q, R) → h
  12. Point(h) → S
  13. Segment(S, T) → i
  14. Segment(U, V) → j
  15. Segment(W, Z) → c
  16. Segment(A_1, B_1) → d