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In square ABCD, opposite corners are A(−1, −1) and C(3, 3), and the sides are parallel to the axes. What are B and D?

Class 9Figures on the Coordinate PlaneCoordinate Geometry
  • A(−3, 1) and (1, −3)
  • B(3, −1) and (−1, 3)
  • C(3, 1) and (1, 3)
  • D(1, 1) and (3, −1)

Step-by-Step Solution

With sides parallel to the axes, the other two corners mix the coordinates of A and C: of C, of A) = (3, −1) and of A, of C) = (−1, 3). Each side is then 4 units.
Answer: B) (3, −1) and (−1, 3)

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