Cup: A small container with a handle (optional) used for hot or cold beverages like tea, coffee, or hot chocolate.
Mug: A larger container with a handle used for hot beverages like coffee, tea, or soups.
Glass: A transparent or translucent container without a handle, used for serving cold beverages like water, juice, soda, or alcoholic drinks.
If you have a transparent container that is large in size and has a handle, it would generally be considered a mug. While cups are typically smaller, a larger size with a handle is more characteristic of a mug. The transparency of the material doesn't affect its categorization as a mug.