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When Does It Form a Rectangle?

When Does It Form a Rectangle?
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2016-11-18 02:59
PolygonVectorMatrix
This example demonstrates how to form a rectangle by adjusting the positions of points. Key mathematical concepts include geometric construction, vectors, and matrices. Using GeoGebra commands such as Line, OrthogonalLine, Point, Intersect, and Polygon, a rectangle can be constructed. Suitable for middle school and above students to learn geometric construction and matrix transformations.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. OrthogonalLine(B, a) → b
  3. Point(b) → C
  4. OrthogonalLine(C, b) → c
  5. OrthogonalLine(A, a) → d
  6. Intersect(c, d) → D
  7. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  8. Polygon(E, G, H, F) → poly2, e, g, h, f