# Locus of a point

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?

- A square
- The border of a square
- A circle
- The border of a circle