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On a grid, a square has its centre at (4, 4) and its sides parallel to the axes. One vertex of the square is at (1, 1).
Find the half-diagonal distances: the vertex is 3 left and 3 down from the centre.
What are the coordinates of the opposite vertex?

Class 8Coordinates of a PointCoordinate Geometry
  • A(7, 7)
  • B(1, 7)
  • C(7, 1)
  • D(4, 4)

Step-by-Step Solution

The centre is the midpoint of the diagonal. Opposite vertex = (2*4 - 1, 2*4 - 1) = (8 - 1, 8 - 1) = (7, 7).
Answer: A) (7, 7)

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