Slopes of Parallel & Perpendicular Lines

Slopes of Parallel & Perpendicular Lines
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2019-04-10 10:27
This example demonstrates the relationship between slopes of parallel and perpendicular lines. It involves core math concepts like slope, properties of parallel and perpendicular lines. Constructed using GeoGebra commands and objects such as Line, Point, Intersect, OrthogonalLine, Angle, Slope. Suitable for high school mathematics teaching to understand line equations and geometric relationships.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Point(b) → D
  4. Intersect(yAxis, b) → E
  5. Intersect(a, yAxis) → F
  6. OrthogonalLine(D, a) → c
  7. Intersect(c, a) → G
  8. Angle(A, G, D) → α
  9. Slope(b) → m_1
  10. Slope(a) → m_2
  11. Slope(c) → m