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Rotation with Slider: Dynamic Triangle Rotation in GeoGebra

Rotation with Slider: Dynamic Triangle Rotation in GeoGebra
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2016-11-01 10:15
PolygonAngleTransformationGeometric ConstructionSlider Animation
①This example demonstrates a triangle rotating around a point, with the rotation angle controlled by a slider, providing an interactive visualization of rigid motion in the plane. ②Core mathematical concepts include geometric transformation (rotation), rotation center, angle measure, congruence of figures, and coordinate relationships. ③Construction highlights: using GeoGebra commands Polygon to create triangle poly1, Rotate to rotate the triangle's vertices (A, B, C) and sides (a, b, c) by an angle α controlled by a slider, generating the rotated triangle (A', B', C') and its sides (a', b', c'), while keeping the original figure for comparison. ④This is suitable for middle or high school geometry lessons, math labs, or exploratory activities to help students grasp the definition and properties of rotation, and to observe how changing the angle affects the transformed shape.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Rotate(C, α, D) → C'
  3. Rotate(C, α, D) → C'_2
  4. Rotate(A, α, D) → A'
  5. Segment(C'_2, A') → b'
  6. Rotate(B, α, D) → B'
  7. Rotate(C, α, D) → C'_1
  8. Segment(B', C'_1) → a'
  9. Rotate(A, α, D) → A'_1
  10. Rotate(B, α, D) → B'_1
  11. Segment(A'_1, B'_1) → c'