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Rectangle to Parallelogram

Rectangle to Parallelogram
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2017-02-04 21:26
PolygonTransformationGeometric Construction
This example demonstrates the transformation of a rectangle into a parallelogram through reflection. Key math concepts include reflection, parallelogram, rectangle, tangent function, line segment, geometric mean, and exponent. The construction utilizes GeoGebra commands/objects like Line, Point, Segment, Polygon, and Angle. Suitable for high school students learning geometric transformations and properties of shapes.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, D) → g
  3. Point(g) → E
  4. Point(f) → G
  5. Point(g) → H
  6. Segment(G, H) → j
  7. Segment(H, E) → k
  8. Point(Circle[G, 9]) → I
  9. Segment(G, I) → i
  10. Segment(E, I) → h
  11. Polygon(I, E, H, G) → poly1, i_1, e, h_1, g_1
  12. Segment(H, J) → l
  13. Segment(J, F) → m
  14. Segment(F, E) → n
  15. Angle(J, F, E) → α
  16. Angle(H, E, F) → β
  17. Angle(J, H, E) → γ