Final answer:
The measure of overline T'U' is 12 units.
Step-by-step explanation:
To find the measure of overline T'U', we multiply the scale factor of 1/3 by the length of overline TU.
Scale factor = 1/3
Length of overline TU = 36 units
Measure of overline T'U' = Scale factor x Length of overline TU
Measure of overline T'U' = (1/3)(36) = 12 units