jmc

Question

Points (1,-5) and (11,7) are the opposite vertices of a parallelogram. What are the coordinates of the point where the diagonals of the parallelogram intersect?

Accepted Answer

The diagonals of a parallelogram intersect at the midpoint of each diagonal. So, we simply find the midpoint of (1,-5) and (11,7), which is (1+112, -5+72)=(6,1).