Hiroshi is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. He begins by assigning coordinates to the vertices of a parallelogram as shown. Which sentence describes what Hiroshi should do to show that the diagonals of the parallelogram bisect each other?

Show that the length of QN¯¯¯¯¯¯ is greater than the length of MP¯¯¯¯¯¯.

Show that MN=QP=a.

Show that the slope of QM¯¯¯¯¯¯ is cb and the slope ofPN¯¯¯¯¯¯ is cb.

Show that the midpoint of MP¯¯¯¯¯¯ is (a+b2, c2) and the midpoint of QN¯¯¯¯¯¯ is (a+b2, c2).
A parallelogram graphed on a coordinate plane. The parallelogram is labeled M N P Q. The vertex labeled as M lies on begin ordered pair b comma c end ordered pair. The vertex labeled as N lies on begin ordered pair a plus b comma c end ordered pair. The vertex labeled as P lies on begin ordered pair a comma 0 end ordered pair. The vertex labeled as Q lies on begin ordered pair 0 comma 0 end ordered pair. Diagonals Q N and M P are drawn.