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Properties of a Quadrilateral

Properties of a Quadrilateral
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2018-11-14 07:13
PolygonVectorFunctionCoordinate GeometryGeometric Construction
This example demonstrates the basic properties of a quadrilateral, including the calculation of side lengths, angles, and area. Key mathematical concepts include geometry, vectors, and functions. Using GeoGebra commands such as Point, Vector, and Textfield, it dynamically shows the changes in the quadrilateral. Suitable for middle and high school students to learn geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Vector(A, B) → u
  3. Vector(B, C) → v
  4. Textfield(g) → inputBox1
  5. Textfield(f) → inputBoxf
  6. Sequence(-3, 3, dx) → N
  7. Zip(Vector[(2, g(z)), (4, f(g(z)))], z, N) → fgx_*
  8. Zip(Vector[(0, z), (2, g(z))], z, N) → g_*
  9. Zip((z, g(z)), z, N) → Pg_*
  10. Zip((z, f(g(z))), z, N) → Pfg_*
  11. Zip(Vector[(0, z), (4, f(g(z)))], z, N) → qx_*
  12. TableText(Transpose[{Append["x", N], Append["g(x)", g(N)], Append["f(g(x))", f(g(N))]}]) → Table

AI Drawing Prompt Reference

Draw a quadrilateral with points A and B, vector u from A to B, and vector v from B to C. Use input boxes to define functions g and f, and plot points (x, g(x)) and (x, f(g(x))) based on the input values, then connect these points to form curves.
The prompt above was compiled from the original drawing commands and is for reference only.