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## 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

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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?