Translation preserves distance

Author:: Mathguru, Walch Education

Topic:: Translation

Given the transformation of a translation

, and the points

and

, show that the transformation of a translation is isometric by calculating the distances, or lengths, of

and

.

Plot the points of the preimage.
Transform the points.
Plot the image points.
Calculate the distance, , of each segment from the preimage and the image and compare them.