我本以为你们互相认识，因为你们上的是同一所学校。

I ___assumed you knew each other because you went to the same school.

我邀请了她，只是以为她会想来。

I invited her just ___assuming she would want to come.

警方以为他在撒谎，所以把他关进了监狱。

The police ___assumed he was lying so they put him in jail.