9514 1404 393
Answer:
A. (0, 5), (5, 1)
Step-by-step explanation:
The midpoints of the diagonals of a parallelogram are the same point. This means the sum of the opposite vertex coordinates will be the same.
For the given diagonal, the sum of end point coordinates is ...
(-2, -3) + (7, 7) = (-2+7, -3+7) = (5, 4)
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This means we're looking for a pair of coordinates whose sum is (5, 4).
A: (0, 5) +(5, -1) = (0+5, 5-1) = (5, 4) . . . . . . the points we want
B: (0, 4) +(4, -1) = (4, 3) . . . not it
C: (-1, 5) +(5, 0) = (4, 5) . . . not it
D: (-1, 4) +(4, 0) = (3, 4) . . . not it
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In the attached, the blue line segment is the only one that passes through the midpoint of the given diagonal. It has end point coordinates
(0, 5) and (5, -1) . . . matching choice A
