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Plotting Points via Distance in the Coordinate Plane

Plotting Points via Distance in the Coordinate Plane
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2021-12-16 23:38
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to plot points in the coordinate plane using distance. Key mathematical concepts include coordinate geometry and the Pythagorean theorem. It utilizes commands such as RandomElement, Intersect, Polygon, Segment, Angle, If, Circle, Point, and Textfield. Suitable for middle school and above students learning coordinate geometry.

GeoGebra Commands & Parameters

  1. RandomElement(l1) → a
  2. Intersect(f, eq1) → F
  3. Polygon(A, F, E) → t1, e, a_1, f_1
  4. Segment(A, E) → g
  5. Angle(E, F, A) → α
  6. Segment(E, F) → h
  7. Segment(F, A) → i
  8. If(a ≟ 50 ∨ a ≟ 65 ∨ a ≟ 85, 16, a ≟ 25 ∨ a ≟ 100, 12, 8) → no
  9. Circle(A, sqrt(a)) → c
  10. Point(c) → G
  11. Segment(A, G) → j
  12. Angle(E, F, A) → β
  13. Textfield(C) → InputBox1
  14. Textfield(D) → InputBox2
  15. Textfield(I) → InputBox3
  16. Textfield(H) → InputBox4
  17. If(Distance[A, C] ≟ sqrt(a), "√", "x") → text6
  18. If(Distance[A, I] ≟ sqrt(a), "√", "x") → text5
  19. If(Distance[A, D] ≟ sqrt(a), "√", "x") → text7
  20. If(Distance[A, H] ≟ sqrt(a), "√", "x") → text8

AI Drawing Prompt Reference

In the coordinate plane, randomly select a point, construct a triangle using its intersection with another line, and draw a line segment from it. Then, draw a circle centered at this point with a random distance as the radius, find its intersections with the axes, and label the key distance relationships. Finally, add text boxes to display the results of distance calculations, demonstrating the application of coordinate geometry and the Pythagorean theorem.
The prompt above was compiled from the original drawing commands and is for reference only.