A garden is in the shape of a square. The gardener grew saplings of Ashoka tree on the boundary of the garden at the distance of \(1 \ m\) from each other. He wants to decorate the garden with rose plants. He chose a triangular region inside the garden to grow rose plants. In the above situation, the gardener took help from the students of class \(5\). They made a chart for it which looks like the given figure.
Based on the above, answer the following questions:
(i) If \(A\) is taken as origin, what are the coordinates of the vertices of \(\Delta PQR\)?
(ii) Determine distances \(PQ\) and \(QR\).
(iii) Check if \(\Delta PQR\) is an isosceles triangle.