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Overlapping Similar Triangles

Overlapping Similar Triangles
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2016-10-12 01:04
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the properties of overlapping similar triangles. Key mathematical concepts include the properties of similar triangles and geometric construction. Using GeoGebra commands such as Polygon, Point, Line, Intersect, Segment, Angle, Distance, etc., overlapping similar triangles can be constructed. Suitable for middle school and above students to learn about the properties of similar triangles and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Point(poly1) → D
  3. Line(D, b) → f
  4. Intersect(f, a) → E
  5. Segment(D, E) → g
  6. Angle(B, C, A) → α
  7. Angle(B, E, D) → β
  8. Angle(C, A, B) → γ
  9. Angle(E, D, B) → δ
  10. Distance(A, B) → distanceAB
  11. Distance(D, B) → distanceDB
  12. Distance(C, B) → distanceCB
  13. Distance(E, B) → distanceEB
  14. Distance(C, A) → distanceCA
  15. Distance(E, D) → distanceED