The figure shows a parallelogram ABCD, AC
and BD meet at O, E
midpoint of BC and F midpoint of CD. AE and BF meet at G. DE meets
AF, BF at H, N. GH extended meets BC, AC, CD, AD at M, P, Q, R. Prove
that: (1) A, O, P, N, C are collinear; (2) MG = GP= PH = HQ = QR; (3) MR
parallel to BC; (4) MR congruent to BC.
