Square TUVW is dilated by a scale factor of 6 to form square T'U'V'W'. Side U'V' measures 18. What is the measure of side UV?

The scale factor of the dilation is 6. This means that all corresponding sides in the original square are multiplied by 6 to get the corresponding sides in the dilated square.

If side U'V' measures 18 in the dilated square, then side UV would be 18 divided by the scale factor of 6:

UV = 18 / 6
UV = 3

Therefore, the measure of side UV is 3.