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Coordinate Geometry Example

Coordinate Geometry Example
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2016-02-19 04:50
TriangleCirclePolygonCoordinate GeometryGeometric Construction
This example demonstrates how to use coordinate geometry to draw triangles, circles, and polygons, and calculate geometric properties like midpoints and angles. Core math concepts include coordinate geometry, equations, geometric construction, transformations, and limits. It utilizes GeoGebra commands and objects such as Sequence, Line, Textfield, Polygon, Midpoint, LaTeX, and variables like Rans, A, B, lne, ans1, ans2, ans4, q1, InputBox1, numans, q1c, q2, InputBox2, C, gradpoly, q1f, num2ans, q2c, q2f, q3, Muser, InputBox3, M, q3c, q3f, q4, InputBox4, num4ans, q4c, q4f, q5, ans5, InputBox5, q5c, q5f, button1, text1. Suitable for high school students learning basic principles and construction techniques of coordinate geometry.

GeoGebra Commands & Parameters

  1. Sequence(Random[-5, 5], i, 1, 4) → Rans, {-5, 3, 1, 2}
  2. Line(A, B) → lne
  3. Textfield(ans1) → InputBox1
  4. Textfield(ans2) → InputBox2
  5. Polygon({A, C, B}) → gradpoly
  6. Textfield(Muser) → InputBox3
  7. Midpoint(Segment[A, B]) → M
  8. LaTeX("\text{" + (If[q3c, "Correct!", "Incorrect"]) + ((((((((((" - Midpoint AB = }\left( \frac{" * x(B)) * "+") * x(A)) * "}{2},\frac{") * y(B)) * "+") * y(A)) * "}{2} \right) = ") * M))) → q3f
  9. Textfield(ans4) → InputBox4
  10. LaTeX("\text{" + (If[q4c, "Correct!", "Incorrect"]) + ((((" - Perpendicular Gradient = \frac{-1}{\left(" * $5) * "\right)} = ") * $7))) → q4f
  11. Textfield(ans5) → InputBox5
  12. LaTeX("\text{" + (If[q5c, "Correct!", "Incorrect"]) + (((((((((" - Eqn of line: }\\y-y_1=m(x-x_1) \\ y-" * y(A)) * "=") * $5) * "(x-") * x(A)) * ") \\ ") * lne) * "\text{ (or equivalent)}"))) → q5f

AI Drawing Prompt Reference

Draw a triangle ABC with points A, B, and C randomly generated. Find the midpoint M of AB and input its coordinates in InputBox1. Draw the line l through points A and B, and input its slope in InputBox2. Construct triangle ABC and input its area in InputBox3. Calculate the perpendicular slope of line l and input it in InputBox4. Finally, input the equation of line l in InputBox5.
The prompt above was compiled from the original drawing commands and is for reference only.