Let the coordinates of K be
.
Find the midpoint of
.
(Midpoint point formula)
(Substitute
)
(Simplify)
Use
to determine the coordinates of K.
Since in a parallelogram diagonals bisect each other,
is the midpoint of
.
(Midpoint of
is
)
Equate the coordinates
\

(Simplify) 
The coordinates of K are 
The option C is correct.