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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

statment 1 reason

--------------------------------------------------

1)K is the midpoint of line 1 1) given

JE

2)line KE is congruent to 1 2) midpoint is the center of a line segment

line KJ

3)L is the midpoint of line 1 3) given

UN

4)line NL is congruent to line 1 4) midpoint is the center of a line segment

LU

5)line KL and line UE bisect 1 5) given

each other at M

6)line EM is congruent to line 1 6) line bisector splits the line segment in half

MU

7)line KM is congruent to line 1 7) line bisector splits the line segment in half

ML

8)Triangle EKM is congruent to1 8) theorem of Side,Side,Side

triangle ULM

9)line EK is congruent to line 1 9)corresponding parts of congruent triangles and congruent

UL

10)line KJ is congruent to line 1 10)substitution

NL

11)line EJ is congruent to line 1 11)substitution

NU

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?