break in 和rush in和rush into的区别

ush in 就是“冲进来”,是不及物动词短语 不能说“rush in a house” ,只能这样：“With great anger,the teacher rushed in.” 而对应地,rush into是及物的 可以说“rush into a house”这样的语句
break in和break into也是类似 break in是指“闯进来,突然打断”,对应的及物短语就是break into
The thief broke into his house and stole a mobile phone.小偷闯进他家,偷走了一部手机.
The thief broke in without noise.小偷悄无声息地闯进来.
His house was broken into last night.他家昨晚被人闯进去了.
再问： 那是不是rush in 和break in可不可以替换呢？谢谢