The curve with Cartesian equation \(\frac { x ^ { 2 } } { c } + \frac { y ^ { 2 } } { d } = 1\) is mapped onto the curve with polar equation \(r = \frac { 10 } { 3 - 2 \cos \theta }\) by a single geometrical transformation.
By writing the polar equation as a Cartesian equation in a suitable form, find the values of the constants \(c\) and \(d\).
Hence describe the geometrical transformation referred to in part (a). [0pt]
[1 mark]