If it's made of plastic but otherwise looks like a glass, I'd call it a beaker. To me, it's only ever a glass if it's made out of glass.
Beakers are found in chemistry labs and should never be used for drinking, even if only distilled water. That's why ThinkGeek sells novelty shot glasses shaped like beakers and flasks.
Rant: When my mother screams at me for being "lazy" when I ask her to help me with something that I'm having trouble with (e.g. pouring a drink when I can't control my action tremours). She also gets some money from the province as a "caregiver benefit." (Which is something that I worry might work against me, because I've already been assessed as having a high level of impairment.)
Well, that explains why she doesn't want you to be independent. She'd lose the money.
Let me guess: That money is to be used for your benefit, for whatever special dietary needs you might have, transportation to/from medical appointments or therapy sessions, any daily living/mobility aids you might need (ie. your cane), and numerous other things that she's either not doing for you, or not doing safely. Instead, she pockets most of it herself and you have to put up with her unsafe driving on her schedule, not the one you need.
AISH in Alberta covers a lot of that. I didn't have to pay for my walker, and I've got a social worker who is going to advocate for me with my AISH worker to cover the transportation expenses for my surgeries (approximately $80 if I go to Innisfail; would be $120 if I have to go to Wetaskiwin). Apparently they don't do eye surgeries in Red Deer. She's even going to try for a bit of extra so I can get someone to take care of Maddy (who I pointed out is necessary for my mental health; without her to take care of, there are days when I just wouldn't bother getting out of bed or giving a damn about much of anything).
This also shows how some people who have never experienced any disabilities just can't fathom how some simple tasks are either very difficult or impossible. Like yesterday, me struggling to open a jar of peanut butter... definitely not user-friendly for people with arthritis. Many years ago I was staying with a friend in Calgary for the weekend and her mother asked for a ride to an appointment, three blocks away. My friend didn't want to bother, telling her, "Come on, it's only three blocks, you can walk!"
Knowing how impossible that is when you just don't have the energy, I broke one of my own rules about getting involved in other people's family arguments. I told my friend that she's never experienced that kind of fatigue - the kind where you can exhaust your energy just walking a short distance, but I do know what it's like... and she should give her mom the ride she asked for.