1. The problem statement, all variables and given/known data p1(x1,y1) , p2(x2,y2), p3(x3,y3), p4(x4,y4) are the vertices of a quadrilateral. Show that the quadrilateral formed by joining the midpoints of adjacent sides is a parallelogram. 2. Relevant equations Midpoint = x1 + x2 / 2 and y1 + y2 / 2 3. The attempt at a solution im not quite sure of what the question is asking... "show that quadrilateral formed by joining the midpoints of adjacent sides is a parallelogram" isnt this just mean cut the original paralleogram in half ? and still proove its a prallelogram ? how can a trapezoid for example turn into parallelogram after joining the midpoints of adjacent sides... right it cant.. This is why the question is so misleading to me.. can anyone give me a small clue? so i can try to figure this question out by myself thanks !