MathPlotAI Logo MathPlotAI

Perpendicular Lines by shanlee

Perpendicular Lines by shanlee
Loading the math board and drawing, please wait…
2019-02-17 14:20
AngleCoordinate GeometryGeometric Construction
This example demonstrates how to construct two perpendicular lines, analyze their intersection point, and explore their geometric properties. It involves core math concepts like linear functions, coordinate geometry, and angle measurements. The construction uses commands such as Line, Intersect, Segment, Polygon, Rotate, and Angle from GeoGebra. Suitable for high school students learning about perpendicular lines, their algebraic representation, and geometric constructions.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Intersect(h, g) → C
  3. Segment(C, B) → i
  4. Segment(C, A) → j
  5. Polygon(B, C, A) → t1, a, b, c
  6. Rotate(B, α, A) → B'
  7. Rotate(C, α, A) → C'
  8. Rotate(A, α, A) → A'
  9. Polygon(B', C', A') → t1', a', b', c'
  10. Rotate(f, α, A) → f'
  11. Angle(f', f) → β