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Parallelogram to Rectangle

Parallelogram to Rectangle
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2014-04-14 21:15
PolygonTransformationGeometric Construction
This example demonstrates how to transform a parallelogram into a rectangle. Key mathematical concepts include the properties of parallelograms and rectangles. It uses GeoGebra commands such as Line, OrthogonalLine, Intersect, Segment, Polygon, and Mirror for construction. Suitable for middle school and above students to learn geometric transformations and properties of shapes.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. OrthogonalLine(C, a) → b
  3. Intersect(b, a) → D
  4. Line(C, a) → c
  5. Segment(C, A) → d
  6. Line(B, d) → e
  7. Intersect(e, c) → E
  8. Polygon(A, B, E, C) → poly1, a_1, b_1, e_1, c_1
  9. Segment(C, D) → f
  10. Line(F, f) → g
  11. Mirror(C, g) → C'
  12. Mirror(D, g) → D'
  13. Segment(C', D') → f'
  14. Mirror(E, g) → E'
  15. Mirror(C, g) → C'_1
  16. Segment(E', C'_1) → h
  17. Line(E', f') → i
  18. Intersect(i, a) → G
  19. Polygon(E', G, D', C') → poly2, e', g_1, d', c'