\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Site \(E\) is to be added to the Voronoi diagram shown below for sites \(A\), \(B\), \(C\), and \(D\).
  1. In which existing cell does site \(E\) lie?
  2. Explain why site \(E\) will share a boundary with all other sites (\(A, B, C, D\)).
  3. Redraw the Voronoi diagram with site \(E\) added.

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