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Special Right Triangles by James Fields

Special Right Triangles by James Fields
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2017-01-11 01:50
TriangleTrigonometryTransformationGeometric Construction
This example illustrates the properties of special right triangles, such as 30°-60°-90° and 45°-45°-90° triangles. It involves key geometric concepts like the ratio relationships of these triangles. Dynamic transformations are demonstrated using rotation and translation operations. GeoGebra commands used include Line, Rotate, Angle, Intersect, and Polygon. Suitable for middle and high school students learning geometric transformations and trigonometry.

GeoGebra Commands & Parameters

  1. Line(A, C) → f
  2. Rotate(C, α, A) → B'
  3. Angle(C, A, B') → β
  4. Line(A, B') → g
  5. Rotate(A, (-(90°)), C) → A'
  6. Angle(A', C, A) → γ
  7. Line(C, A') → h
  8. Intersect(g, h) → B
  9. Polygon(A, B, C) → poly1, c, a, b
  10. Angle(A, B, C) → δ