补全对话

A：Hi，Vera．How was your holiday?

B：It was great．

A：Where did you go?

B：____ 

A：Really?Wow!What did you do there?

B：Well，I visited a lot of museums．

A：Oh，how were they?

B：They were really interesting．____ 

A：Did you go shopping?

B：Yes，I did．

A：  ____ 

B：Oh，they were very expensive．

A：How were the people?____ 

B：Yes．The people were really friendly．My parents have some Japanese friends，and we had dinner in their houses．

A：____ 

B：It was delicious．I love Japanese food!

如图①，在正方形ABCD中，E、F分别是BC、CD上的点，且∠EAF＝45°
，则有结论EF＝BE＋FD成立；                                                                                                  

（1）如图②，在四边形ABCD中，AB＝AD，∠B＝∠D＝90°，E、F分别是BC、CD上的点，且∠EAF是∠BAD的一半，那么结论EF＝BE＋FD是否仍然成立？若成立，请证明；若不成立，请说明理由；
（2）若将（1）中的条件改为：在四边形ABCD中，AB＝AD，∠B+∠D＝180°，延长BC到点E，延长CD到点F，使得∠EAF仍然是∠BAD的一半，则结论EF＝BE＋FD是否仍然成立？若成立，请证明；若不成立，请写出它们之间的数量关系，并证明.