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Horizontal and Vertical Distances

Horizontal and Vertical Distances
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2022-05-11 22:45
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how to construct points A, B, C, D, and their horizontal and vertical distances using GeoGebra. Key mathematical concepts include coordinate systems and distance calculation. Commands used include Textfield, If, Length, etc. Suitable for middle school and above students learning coordinate geometry.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(c) → InputBox2
  3. Textfield(b) → InputBox3
  4. Textfield(d) → InputBox4
  5. Textfield(f) → InputBox5
  6. Textfield(g) → InputBox6
  7. Textfield(h) → InputBox7
  8. If(Distance[A, B] ≟ f, "√", "X") → text3
  9. If(Distance[C, D] ≟ g, "√", "X") → text4
  10. If(Distance[A, B] - Distance[C, D] ≟ h, "√", "X") → text5
  11. Mode(l1) → l2
  12. Length(l2) → e_1

AI Drawing Prompt Reference

On a coordinate plane, set up four points A, B, C, and D. Use their horizontal/vertical distance idea to compare measured distances with given target values. First construct the distances associated with segment AB and check whether that distance equals the provided value f; display a “√” if it matches, otherwise display an “X”. Then do the same for segment CD with the provided value g. Finally, compare whether the difference between the distance of AB and the distance of CD equals the provided value h, showing “√” when true and “X” when false.
The prompt above was compiled from the original drawing commands and is for reference only.