No, the 2 lines can never ever be both parallel and perpendicular if I'm not mistaken. This is because a set of parallel lines will never touch each other at all. However perpendicular lines are two lines that meet up to get an angle of 90. You cannot have two lines that never touch and touch at the same time.
The answer is 41 miles
Imagine the diagonal distance is called c
Using Pythagorean theorem 40^2 + 9^2 = c^2
1600 + 81 = c^2
The square root of 1681 is 41
So c = 41
I would check all of these answers because basically, when performing a translation, you are simply moving the shape around. It is not being stretched or manipulated in shape so the angle measures, length, shape, and size would not change. Also, a translation does not rotate the object, so the orientation would not change either. :)