A worker lays a floor tile. The tile has diagonals that are equal in length and bisect each other at \(90^{\circ}\).
1. Name the quadrilateral formed by the tile.
2. Which property helps you identify the shape?
3. If each diagonal is \(16 \ cm\), what is the length of each half of the diagonal?
4. What is the angle formed where the diagonals intersect?