签署合同后，他们微笑着握了握手。

After signing the contract, they smiled and ___shook ___hands.

我们被介绍认识时，我礼貌地和她握了手。

When we were introduced, I politely ___shook ___hands with her.

我的朋友误以为他是名人，急切地和他握了手。

My friend mistook him for a celebrity and eagerly ___shook ___hands with him.