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Triangle Altitude Dynamic Demonstration and Definition Writing Prompt

Triangle Altitude Dynamic Demonstration and Definition Writing Prompt
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2017-01-07 00:06
TriangleCoordinate GeometryGeometric Construction
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This example dynamically illustrates the altitude of a triangle and provides a definition writing prompt. Using GeoGebra commands, users can intuitively understand the concept of triangle altitude. Key commands used in the construction include Polygon, Line, Segment, OrthogonalLine, Intersect, Dilate, and Angle. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Line(A, B) → f
  3. Segment(A, C) → g
  4. Segment(C, B) → h
  5. OrthogonalLine(C, f) → i
  6. Intersect(f, i) → D
  7. Dilate(C, If[0 < d ≤ 1, 1 - d, 0], D) → C'
  8. Segment(C, C') → j
  9. Segment(C, D) → k
  10. Angle(C, C', A) → α