I need help in this sum.

Q: In the adjoining figure, ABCD is a square and BCPQ is a parallelogram. If M is the midpoint of DC and PM produced meets AN at N, prove that AN=1/2 AD. If BD meets MN at R, prove that BQ=1/2 AC.

I have no problem with the first part of the question but the second part confuses me. Please help, thanks.