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Perpendicular Line Segments

Perpendicular Line Segments
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2017-12-06 19:49
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the construction of two perpendicular line segments and their intersection point. Key math concepts include line segments, angles, slopes, and rotational transformations. It uses commands like Intersect, Point, Polygon, Rotate, Line, Slope, and FractionText. Suitable for high school mathematics education to understand perpendicular relationships and transformations in spatial geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → D
  4. Polygon(A, B, C, D) → q1, a, b, c, d
  5. Rotate(A, rotate) → A'
  6. Rotate(B, rotate) → B'
  7. Rotate(C, rotate) → C'
  8. Rotate(D, rotate) → D'
  9. Rotate(A, rotate, x = 3) → A'_1
  10. Rotate(B, rotate, x = 3) → B'_1
  11. Rotate(C, rotate, x = 3) → C'_1
  12. Rotate(D, rotate, x = 3) → D'_1
  13. Line(A, C) → f
  14. Rotate(f, rotate) → f'
  15. Rotate(A, rotate) → A'_2
  16. Rotate(B, rotate) → B'_2
  17. Rotate(C, rotate) → C'_2
  18. Rotate(D, rotate) → D'_2
  19. Polygon(A'_2, B'_2, C'_2, D'_2) → q1', a'_2, b'_2, c'_2, d'_2
  20. Slope(f') → m
  21. FractionText(m) → n