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anzhelika [568]
3 years ago
12

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)
Mathematics
1 answer:
Nataliya [291]3 years ago
6 0
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. 

<span>Let's use W and Y. </span>

<span>(-1 + 6)/2 = 2.5 </span>
<span>(7 + -2)/2 = 2.5 </span>

<span>So our point is (2.5,2.5) </span>

<span>We could also use X and Z. </span>
<span>(8 + -3)/2 = 2.5 </span>
<span>(7 + -2)/2 = 2.5 </span>

<span>Again, we get (2.5,2.5)</span>
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