Segue and Segway sound the same, but they mean different things.
Segue is a verb. It means to move smoothly from one subject, activity, or piece of music to another. You will often see it in writing about conversation, presentations, and performance.
- She segued into the final point.
- The song segues into a quieter section.
Segway is a brand name. It refers to the self balancing, two wheeled personal transporter made by the company Segway. Because the name became familiar, some people use it loosely for similar scooters, but the original word is a proper noun.
- He toured the city on a Segway.
A simple way to remember the difference is this: if you mean transition smoothly, use segue. If you mean the vehicle, use Segway.