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Midpoint between two points

Midpoint between two points
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2017-12-29 20:33
Coordinate GeometryGeometric Construction
In collections Mathematics Form 2
This example demonstrates how to construct the midpoint between two points using GeoGebra, involving core concepts like midpoint formula, line segments, and coordinate geometry. Key commands and objects used include If, Line, Midpoint, Intersect, Segment, Text, SelectedIndex. Suitable for middle school students and above to learn basic constructions in coordinate geometry.

GeoGebra Commands & Parameters

  1. If(y(P) ≤ y(Q), P, Q) → F
  2. If(y(P) ≤ y(Q), Q, P) → G
  3. Line(F, xAxis) → f
  4. Line(G, xAxis) → g
  5. Line(F, yAxis) → h
  6. Line(G, yAxis) → i
  7. Midpoint(Q, P) → M
  8. Line(M, xAxis) → j
  9. Line(M, yAxis) → k
  10. Intersect(g, yAxis) → A
  11. Intersect(j, yAxis) → B
  12. Intersect(f, yAxis) → C
  13. Intersect(h, xAxis) → D
  14. Intersect(k, xAxis) → E
  15. Intersect(i, xAxis) → H
  16. Segment(A, G) → l
  17. Segment(F, D) → p
  18. Segment(M, E) → q
  19. Segment(G, H) → r
  20. Segment(P, Q) → s
  21. Intersect(f, i) → I
  22. Segment(C, I) → n
  23. Intersect(i, j) → J
  24. Segment(B, J) → m
  25. Segment(C, F) → t
  26. Segment(B, M) → a
  27. Segment(I, H) → b
  28. Intersect(f, k) → K
  29. Segment(E, K) → d
  30. Text(x(P)) → X_P
  31. Text(y(P)) → Y_P
  32. If(x(Q) ≥ 0, Text[x(Q)], "(" + (Text[x(Q)]) + ")") → X_Q
  33. If(y(Q) ≥ 0, Text[y(Q)], "(" + (Text[y(Q)]) + ")") → Y_Q
  34. If(IsInteger[Xv] ≟ true ∨ c ≟ false, Text[Xv], If[Xv < 0, "–" + (FractionText[(Xv * (-1))]), FractionText[Xv]]) → Xt
  35. If(IsInteger[Yv] ≟ true ∨ c ≟ false, Text[Yv], If[Yv < 0, "–" + (FractionText[(Yv * (-1))]), FractionText[Yv]]) → Yt
  36. SelectedIndex(Bahasa) → nn
  37. If(nn ≟ 1, "Coordinates of M", "Koordinat M") → text1

AI Drawing Prompt Reference

Draw the midpoint M between two points P and Q. First, identify the point with the smaller y-coordinate between P and Q, and draw lines through this point and the x-axis and y-axis. Then, construct the midpoint M of P and Q, and draw lines through M and the x-axis and y-axis. Finally, connect relevant segments such as the line segment between P and Q, and the segments from M to the x-axis and y-axis.
The prompt above was compiled from the original drawing commands and is for reference only.