Help with quadrilateral proof please

[shyguy10918]

Homework Statement

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

Homework Equations

The Attempt at a Solution

statement 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?

 

[shyguy10918]

for some reason the picture isn't coming out on this part. it is suppose to be a diagnol EU and a line NU.

 

[HallsofIvy]

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.

 

[shyguy10918]

sorry for wrong area. all the work i did is at the bottom same with what i need help with

 

[HallsofIvy]

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