Locus of a point

Level pending

Let \(A\) be a point. Square 1 is a square centered at \(A\). Square 2 is a square such that one vertex of square 2 is \(A\), and the center of square 2 lies on the border of square 1. What shape does the set of all points that can be the vertex directly opposite \(A\) in square 2 form?

  1. A square
  2. The border of a square
  3. A circle
  4. The border of a circle

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