# 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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