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Perpendiculars from four corners to diagonals

Let's draw perpendiculars from the four corners to the diagonals of the quadrangle, and label the intersections with the diagonals E, F, G, and H.
What does quadrangle EFGH become?


  1. : In the case of rectangle
  2. : In the case of parallelogram
  3. : In the case of square
  4. : In the case of general quadrangle

Forum of Geometric Constructor by Y.Iijima