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Angle bisectors of a quadrilateral

  1. Aug 4, 2011 #1
    What are the conditions to have such that the angle bisectors of a quadrilateral meet at a single point?

    Btw, should I put this in the (Topology and) Geometry forums, or is it for more advanced geometry?
  2. jcsd
  3. Aug 4, 2011 #2


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    hi dalcde! :smile:

    hmm … angle bisectors :rolleyes:

    hint: perpendiculars? :wink:
  4. Aug 4, 2011 #3
    The perpendiculars are equal?

    Actually that's what I was starting with. You can put a circle around a quadrilateral (enclosing the quadrilateral inside) if and only if opposite angles of the quadrilateral are supplementary. I wanted to know under what conditions will it be possible to put a circle inside that is tangent to all of the side. (analogous to the incenter of a triangle) If having equal perpendiculars is what you meant, I would be going in circles, unless you have some ways to determine if you can put a circle inside, which would be really appreciated.
  5. Aug 4, 2011 #4
    Anyway, I've found the answer - Pitot Theorem. Thanks anyway.
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