ABCD is a non-convex quadrilateral. The points P, Q, R and S
are the midpoints of the edges of ABCD. You can change the
shape of the quadrilateral ABCD.
What do you notice about the quadrilateral PQRS and its
area as ABCD changes?
If you say that what you have noticed is always true, then
you are making a conjecture. Can you prove your
conjecture?