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3 years ago

HELP I NEED HELP ASAP

Mathematics

1 answer:

allochka39001 [22]3 years ago

7 0

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)

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

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

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