I think you're a little confused. A "trolleybus" is as you describe it: a bus run by electricity from cables overhead. A "tram" is also called "light rail". The thing with wheels in a supermarket is called a trolley. This is a different kind of trolley, as it's not public transport. You can check this with an image search.

Peachey is correct. You appear to have spelled Tram incorrectly. We also don't use the word 'antenna'. We just call them a pole. A trolleybus is always a trolleybus, not a trolley. You are correct that a tram runs on rails, and usually has one pole, whereas a trolleybus does not usually run on rails, and has two poles. From what Jerry said - perhaps shopping trolley or supermarket trolley is not used in the USA, but it is the word we use here in New Zealand. I went for a ride on a trolleybus a few months ago - I think that only one city in our country still has them.

Jerry is right about what we use in stores in the US.

you write false at trum

Or in the U.S. It's a cart or shopping cart.