Can you go to the movies with me tomorrow?同义句转换是什么?

Can you go to the movies with me tomorrow?
同义句：（Would） you （like to） go to the movies with me?
句意：你是否愿意和我一起明天去看电影?
can you在这里应该是征求对方允许,而不是询问能力.改成用would you like to do来向对方发出邀请.
补充问题：
How about having a rest?同义句：（Why）（not）have a rest?
句意：干嘛不休息一下呢?
改成用why not来提建议.