respond reply answer的区别.）

respond reply answer的区别.）
三个都有回答的意思吧?
To my surprise,he __ to my question only by shaking his head slightly.
a:answered
b:replied
c:responded
d:reflect
选a,b,c似乎都可以啊.
比如
a:的话.我见过一个例文.
He answered her question with a wave of his hand 他挥了挥手,作为对她的问题的答复
但是A似乎不能跟to连用的
但是b和c都是可以连用to的单词
respond to 对.作出回应
reply to sb 回复某人
改怎么选呢?