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Help with quadrilateral proof please!

  1. May 10, 2008 #1
    1. The problem statement, all variables and given/known data


    E 1\---------------------------------1N
    1 \ 1
    1 \ 1
    1 \ 1
    1 \ 1
    1 \ 1
    K 1---------\-M---------------------1L
    1 \ 1
    1 \ 1
    1 \ 1
    1 \ 1
    1 \ 1
    1 \ 1
    1 \ 1
    1 \ 1
    1 \ 1
    1 \ 1
    1 \ 1
    J 1---------------------------------\1U
    JUNE is a quadrilateral
    K is the midpoint of line JE
    L is the midpoint of line UN
    line KL and line UE bisect each other at point M
    Prove:JUNE i a parallelogram

    2. Relevant equations



    3. The attempt at a solution

    statment 1 reason
    --------------------------------------------------
    1)K is the midpoint of line 1 1) given
    JE 1
    2)line KE is congruent to 1 2) midpoint is the center of a line segment
    line KJ 1
    3)L is the midpoint of line 1 3) given
    UN 1
    4)line NL is congruent to line 1 4) midpoint is the center of a line segment
    LU 1
    5)line KL and line UE bisect 1 5) given
    each other at M 1
    6)line EM is congruent to line 1 6) line bisector splits the line segment in half
    MU 1
    7)line KM is congruent to line 1 7) line bisector splits the line segment in half
    ML 1
    8)triangle EKM is congruent to1 8) theorem of Side,Side,Side
    triangle ULM 1
    9)line EK is congruent to line 1 9)corresponding parts of congruent triangles and congruent
    UL 1
    10)line KJ is congruent to line 1 10)substitution
    NL 1
    11)line EJ is congruent to line 1 11)substitution
    NU 1
    This is where i am stuck,how can I prove that either line EN is congruent to line JU or that line EJ is parallel to line NU?
     
  2. jcsd
  3. May 10, 2008 #2
    for some reason the picture isn't coming out on this part. it is suppose to be a diagnol EU and a line NU.
     
  4. May 10, 2008 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Why is this a "calculus and beyond" question? Looks like basic geometry to me.

    Also I don't see any indication of what YOU have done. If we don't know what kind of help you need, we can't give you any help.
     
  5. May 10, 2008 #4
    sorry for wrong area. all the work i did is at the bottom same with what i need help with
     
  6. May 11, 2008 #5

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    You need to prove that triangle MNL is congruent to triangle JMK. Look at the angles NLM and JKM.
     
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