I have never heard or seen the phrase 'share taxi' in my life. Where I live, it's just not used.
did you go on the city bus yesterday
if 'a' city bus is also correct shouldn't 'the' be accepted as well?
What makes "їздила" female in this sentence?.
"а" in the end
in past tense ти makes verbs masculine or feminine based on the gender of who you're talking to
маршрУтка, на маршрУтці - наголос має бути на "у"