Horizontal and Vertical Distances Exploration

Horizontal and Vertical Distances Exploration
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2022-05-11 22:54
This example demonstrates how to explore changes in horizontal and vertical distances by adjusting the positions of points. Key mathematical concepts include coordinate geometry and linear functions. Using GeoGebra commands such as Textfield, If, Mode, and Length, one can construct rectangles and segments. Suitable for middle school and above students to learn geometric construction and linear functions.

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

Draw a diagram to explore changes in horizontal and vertical distances by adjusting the positions of points. Include input boxes for parameters, and display the distances between two points and their difference, using symbols to indicate equality or inequality. Start by creating the input boxes, then calculate and show the distances and differences based on the inputs, and finally use symbols to represent the relationships between distances.
The prompt above was compiled from the original drawing commands and is for reference only.