Find the coordinates of the intersection of the diagonals of parallelogram WXYZ with the following vertices: W (-1, 7), X (8, 7), Y (6, -2) and Z (-3, -2)
A. (1.5, -2)
B. (7, 2.5)
C. (2.5, 2.5)
D. (3.5, 7)
The intersection of the diagonals of a parallelogram is always the midpoint of each of the diagonals, which means all we have to do is grab two opposite vertices and average their coordinates.
Let's use W and Y.
(-1 + 6)/2 = 2.5 (7 + -2)/2 = 2.5
So our point is (2.5,2.5)
We could also use X and Z. (8 + -3)/2 = 2.5 (7 + -2)/2 = 2.5
