IN THE CONVEX QUADRILATERAL ABCD, POINTS M, N LIE ON THE SIDE ABYOU...

2. In the convex quadrilateral ABCD, points M, N lie on the side AB

you may make. Marks awarded will depend on the

such that AM = M N = N B, and points P, Q lie on the side CD such

clarity of your mathematical presentation. Work

that CP = P Q = QD. Prove that

in rough first, and then write up your best attempt.

Do not hand in rough work.

Area of AM CP = Area of M N P Q = 1

3 Area of ABCD.

• One complete solution will gain more credit than

several unfinished attempts. It is more important

to complete a small number of questions than to