MathPlotAI Logo MathPlotAI

Locus Maintaining Equidistance from Two Intersecting Lines

Locus Maintaining Equidistance from Two Intersecting Lines
Loading the math board and drawing, please wait…
2017-12-18 14:09
Coordinate GeometryGeometric ConstructionLocus
In collections Locus
This example demonstrates the locus that maintains equidistance from two intersecting lines. Key mathematical concepts include the concept of locus in coordinate geometry. Using GeoGebra commands such as Line, Intersect, OrthogonalLine, etc., the equidistant locus can be constructed. Suitable for high school mathematics education or students learning coordinate geometry.

GeoGebra Commands & Parameters

  1. Line(A, B) → L_1
  2. Point(xAxis) → D
  3. Line(C, D) → L_2
  4. Intersect(L_2, L_1) → E
  5. OrthogonalLine(P, L_1) → c
  6. OrthogonalLine(P, L_2) → d
  7. Intersect(c, L_1) → F
  8. Intersect(d, L_2) → G
  9. Segment(P, F) → e
  10. Segment(P, G) → f
  11. Point(L_2) → H
  12. Point(L_1) → I
  13. If(x(P) - y(P) > 1, Angle[P, F, I], Angle[I, F, P]) → α
  14. If((3 * x(P)) + (4 * y(P)) > 24, Angle[P, G, H], Angle[H, G, P]) → β
  15. If(abs(e - f) ≤ 0.02, P) → M