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Rectangle 1

Rectangle 1
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2016-08-16 03:47
PolygonAngleGeometric Construction
This example demonstrates the construction of a rectangle. Key mathematical concepts include geometric mean and angles. Using GeoGebra commands such as Point, Segment, OrthogonalLine, Intersect, etc., a rectangle is constructed and its properties are analyzed. Suitable for students at the junior high school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Segment(A_1, E) → f
  3. Point(f) → A
  4. OrthogonalLine(A, f) → g
  5. Point(g) → B
  6. Segment(A, E) → h
  7. Segment(A, B) → i
  8. OrthogonalLine(E, f) → j
  9. OrthogonalLine(B, i) → k
  10. Intersect(j, k) → C
  11. Polygon(A, B, C, E) → poly1, c, d, e, b
  12. Angle(A, B, C) → α
  13. Angle(B, C, E) → β
  14. Angle(B, A, E) → γ
  15. Angle(A, E, C) → δ

AI Drawing Prompt Reference

Draw a rectangle by first taking a point A on the y-axis, then drawing a horizontal segment f through A, followed by taking a point B on f and drawing a perpendicular line g from B to f, then taking a point C on g and drawing a perpendicular line j from C to f and a perpendicular line k from C to segment AE, with the intersection of j and k being the fourth vertex D of the rectangle. Finally, connect the points to form the rectangle and analyze its angles.
The prompt above was compiled from the original drawing commands and is for reference only.