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Graphing Parallel & Perpendicular Lines in the Coordinate Plane

Graphing Parallel & Perpendicular Lines in the Coordinate Plane
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2022-11-02 23:34
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how to graph parallel and perpendicular lines in the coordinate plane. Key mathematical concepts include the slope of a line and geometric construction. GeoGebra commands used include Random, Sequence, Union, Line, etc. Suitable for middle school and above students learning straight line geometry.

GeoGebra Commands & Parameters

  1. Random(-9, 9) → a
  2. Random(-9, 9) → b
  3. Sequence(i, i, b + 1, 9, 1) → l4
  4. Sequence(i, i, -9, b - 1, 1) → l3
  5. Union(l3, l4) → yList
  6. Sequence(i, i, a + 1, 9, 1) → l2
  7. Sequence(i, i, -9, a - 1, 1) → l1
  8. Union(l1, l2) → xList
  9. RandomElement(xList) → c
  10. RandomElement(yList) → d
  11. Line(B, A) → f
  12. Line(C, D) → g
  13. Random(1, 2) → n
  14. If(n ≟ 1, "∥", "⟂") → text1
  15. If(y(B) > y(A), (x(B), y(A)), (x(A), y(B))) → E
  16. Polygon(A, E, B) → t1, b_1, a_1, e_1
  17. If(y(D) > y(C), (x(D), y(C)), (x(C), y(D))) → F
  18. Polygon(D, F, C) → t2, c_1, d_1, f_1
  19. Segment(A, E) → j
  20. Segment(E, B) → k
  21. Segment(D, F) → l
  22. Segment(F, C) → m
  23. Slope(f) → o
  24. Slope(g) → p
  25. If(c1, "√", "X") → text2
  26. If(c2, "√", "X") → text4
  27. Textfield(q) → InputBox1
  28. Textfield(r) → InputBox2
  29. If(c3, "√", "X") → text5

AI Drawing Prompt Reference

Draw two parallel lines and two perpendicular lines on a coordinate plane. The parallel lines are defined by two points each, and the perpendicular lines by a point and a slope. The construction order is to draw the parallel lines first, then the perpendicular lines, and finally label their slopes.
The prompt above was compiled from the original drawing commands and is for reference only.