PLZ HELP -geometry- Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(1,3), H(4,3), J(5,1), and K(2,1). The coordinates are ( , ).

The coordinates of the intersection of the diagonal of the parallelogram are .

Step-by-step explanation:

Diagonals are represented by line segments GJ and KH. Since quadrilateral is a parallelogram, then coordinates of the intersection are located at midpoint of each diagonal (). That is:

(1)

If we know that and , the coordinates of the intersection of the diagonals of the parallelogram are:

There is another form:

(2)

If we know that and , the coordinates of the intersection of the diagonals of the parallelogram are:

Therefore, the coordinates of the intersection of the diagonal of the parallelogram are .