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Rectangle

Rectangle
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2019-01-20 03:37
TrigonometryCoordinate Geometry
This example demonstrates the construction of a rectangle. Key mathematical concepts include trigonometry and coordinate geometry. Using GeoGebra commands such as Intersect, OrthogonalLine, and Polygon, the construction of a rectangle and exploration of its properties are illustrated. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. OrthogonalLine(C, xAxis) → f
  3. OrthogonalLine(C, yAxis) → g
  4. Intersect(f, xAxis) → B
  5. Intersect(g, yAxis) → D
  6. Polygon(A, B, C, D) → q1, a, b, c, b_1
  7. Segment(A, C) → d
  8. Segment(D, B) → i
  9. Intersect(d, i) → S
  10. OrthogonalLine(S, f) → j
  11. Intersect(f, j) → E
  12. Segment(S, E) → k
  13. Angle(D, S, A) → φ
  14. TableText({LaTeX[a, true, true]}, {LaTeX[b, true, true]}, {LaTeX[d, true, true]}) → text1
  15. LaTeX(φ, true, true) → text2
  16. Polygon(S, E, C) → t1, c_1, s, e
  17. Angle(C, E, S) → α

AI Drawing Prompt Reference

Draw a rectangle by first finding the intersection of the coordinate axes, then drawing perpendicular lines from this point to the axes to get three vertices of the rectangle. Complete the rectangle using these four vertices and label its diagonals. Next, locate the intersection of the diagonals, draw a perpendicular line from this point to one side of the rectangle to find the fourth vertex. Finally, label the lengths of the sides and diagonals, and the two angles, to complete the drawing.
The prompt above was compiled from the original drawing commands and is for reference only.