translation - What do the shapes △ ◯ ╳ ◻ mean in Japanese? And are there variations in meaning, depending on whether or not the shape is filled?

I am interested in Japanese culture and the symbolism used in Japan, specifically I'd like to know what the △ triangle, ◯ circle, ╳ cross and ◻ square mean to a Japanese person.

How are those shapes interpreted and do they vary depending on there being filled or not?