Let be \(X(x_{1}, x_{2}),\;Y (y_{1}, y_{2})\) two points on the straight line \[ax+by = c.\]

Another point \(Z(z_{1}, z_{2})\) lies on the line \[ax+by = d,\] and its reflection with respect to the segment \(\overline{XY}\) is the point \(Z_{0}(z^{0}_{1}, z^{0}_{2})\).

What relation holds between the coordinates of the point \(Z_{0}?\)

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