They did not wait for us.
It is an adverb qualifying the verb waited.
Yes, you can start a sentence with "By" By, the time I waited in line two hours for my ticket, the show was over.
It was my birthday and i waited eagerly for the postman to arrive.
My mother has not gone out. To make the sentence negative, the negative form of has ( = has not ) is used.
When my sister laughed at my hair, I waited for my mother to chastise her.
There is no preposition in that sentence. I is a pronoun, waited is a verb, and outside is an adverb.
Waited
It is an adverb qualifying the verb waited.
i waited in an anteroom
for
I found I had waited to no avail. As the patient feral cat waited for a passing mouse, he seemed frozen in place prior to his pounce. I waited and waited for for my waiter, but I just had to get out of my waders.
Simple Subject= You Simple predicate= waited
Example sentence - We waited for her to confess to the lies she told.
Probably the preposition on should be at.I waited for you at the bus stand but you did not come
Luke waited patiently for David to arrive.
I meekly waited for my turn on the computer.
You waited for a break in traffic. When another driver cut in front of you, you applied your car brakes, and again waited for a break in traffic before going through the intersection.