Converse of IST: Discovery Template

Converse of IST: Discovery Template
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2018-01-12 19:53
This example demonstrates the converse of the Isosceles Triangle Theorem through interactive exploration, helping students grasp its application. Core mathematical concepts include isosceles triangles, circumcircle, tangent function, hyperbola, and general quadrilateral. Construction highlights the use of GeoGebra commands Segment, Rotate, Ray and objects like α, A, B, f, B', g, A', h, B'_1, A'_1, i, j. Suitable for high school mathematics teaching, ideal for geometric investigation and theorem verification.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Rotate(B, α, A) → B'
  3. Ray(A, B') → g
  4. Rotate(A, (-α), B) → A'
  5. Ray(B, A') → h
  6. Rotate(B, α, A) → B'_1
  7. Rotate(A, (-α), B) → A'_1
  8. Ray(A, B'_1) → i
  9. Ray(B, A'_1) → j