Respuesta :

Answer:

(4,0)

Step-by-step explanation:

Answer:

  (2, 2)

Step-by-step explanation:

Plotting the points, it should be obvious where the fourth corner needs to be: (2, 2).

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When the sides of the square are parallel to the axes, as here, each x-coordinate will appear twice, as will each y-coordinate. The ones in the list of given points that appear only once are x=2, y=2, so those are the coordinates of the missing point.

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The two points that make up a diagonal of the square are (0, 2) and (2, 0). The missing point is the sum of these less the remaining point:

  (0, 2) + (2, 0) - (0, 0) = (2, 2)

This is because the midpoints of the diagonals are the same point, hence the sums of endpoints of the diagonals are the same.

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