Given the transformation of a translation [math]T_{5, -3}[/math], and the points [math]P (-2, 1)[/math] and [math]Q (4, 1)[/math], show that the transformation of a translation is isometric by calculating the distances, or lengths, of [math]\overline{PQ}[/math] and [math]\overline{P'Q'}[/math].
[list=1] [*]Plot the points of the preimage. [*]Transform the points. [*]Plot the image points. [*]Calculate the distance, [math]d[/math], of each segment from the preimage and the image and compare them. [/list]