Answered

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)

Verified Answer :

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 

Again, we get (2.5,2.5)

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