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In the standard (x, y) coordinate plane, if a square has the vertices (−2,−3), (2,−3), and (2,1), what is the set of coordinates for the final vertex?
  • a)
    (2,−1)
  • b)
    (1,−2)
  • c)
    (-1, 2)
  • d)
     (-2,−1)
  • e)
    (-2,1)
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
In the standard (x, y) coordinate plane, if a square has the vertices ...
The correct answer is K. To solve this problem it might be helpful to draw a picture like the one below.

Since the figure is a square, the placement of the missing point becomes clear: the upper left corner. The point will share the same x-coordinate as (−2,−2) and the same y-coordinate as (2,1), making its coordinates (−2,1).
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In the standard (x, y) coordinate plane, if a square has the vertices (−2,−3), (2,−3), and (2,1), what is the set of coordinates for the final vertex?a)(2,−1)b)(1,−2)c)(-1, 2)d)(-2,−1)e)(-2,1)Correct answer is option 'E'. Can you explain this answer?
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