Help in the second question of a geometry exercise please help

helpmepl

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Given an acute-triangle ∆ ABC . From the vertices A ,B ,C draw perpendicular lines to the opposite sides of the triangle and let D ,E ,Z the feet of the perpendicular lines on the sides BC , AC, AB respectively. Let H be the point of intersection of the triangle's altitudes AD, BE, CZ .

  1. If Y ,K ,L ,I are the midpoints of the line segments AH , CH ,BC ,AB respectively, then prove that the quadrilateral YKLI is a rectangle
  2. Draw the tangent (ε) to the circle ,passing through the vertices of the rectangle YKLI, at the point Y. Prove that (ε) is parallel to the line ZΕΙ

I was able to solve the first questions using the midpoint theorem
Any help is considerable even,
 

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Given an acute-triangle ∆ ABC . From the vertices A ,B ,C draw perpendicular lines to the opposite sides of the triangle and let D ,E ,Z the feet of the perpendicular lines on the sides BC , AC, AB respectively. Let H be the point of intersection of the triangle's altitudes AD, BE, CZ .
  1. If Y ,K ,L ,I are the midpoints of the line segments AH , CH ,BC ,AB respectively, then prove that the quadrilateral YKLI is a rectangle
  2. Draw the tangent (ε) to the circle ,passing through the vertices of the rectangle YKLI, at the point Y. Prove that (ε) is parallel to the line ZΕΙ
I was able to solve the first questions using the midpoint theorem
Any help is considerable even,
What have you tried for question (2)? Where are you stuck?

Please be complete. Thank you! ;)
 
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