Absolute All The Way

A square whose vertices are $(0,1);(1,0);(-1,0);(0,-1)$ . We can find these vertices by plugging $y=0$ and solving for $x$ , we get $x=+1,-1$ . Similarly, we can plug $x=0$ and solve for $y$ ; we obtain $y=1,-1$ .

The graph is a reflection of the line segment $x+y=1$ , such that both $x$ and $y$ are non negative, into all four quadrants. This forms a quadrilateral.

The line segment forms a right isosceles triangle with the axes, so the angles at each corner of the quadrilateral formed are $90^{\circ}$ . Thus it is a $\large \color{#20A900}{\boxed{\text{Square}}}$ .