To match the parts and create coherent sentences, we need to analyze each fragment and see which ones logically connect with each other. Let's look at the fragments provided:

• Rarely does
• Little did
• Under no circumstances
• Scarcely had Kate arrived in Moscow when she
• she has her flowers watered
• she does to save me
• should she put herself in danger
• was arrested

Now, let's match them step by step:

1. Rarely does - This phrase is typically used to introduce a statement about something that happens infrequently. A suitable continuation could be "she has her flowers watered." So, we can form the sentence: Rarely does she have her flowers watered.
2. Little did - This phrase is often used to introduce a surprising fact about the past. The most fitting continuation would be "she was arrested." Thus, we create the sentence: Little did she know she was arrested.
3. Under no circumstances - This phrase is used to emphasize that something must not happen. The logical continuation here is "should she put herself in danger." Therefore, we have: Under no circumstances should she put herself in danger.
4. Scarcely had Kate arrived in Moscow when she - This phrase indicates that something happened immediately after the first event. The most appropriate continuation is "was arrested." Hence, we can say: Scarcely had Kate arrived in Moscow when she was arrested.

Now, we have successfully matched all the parts to create meaningful sentences:

• Rarely does she have her flowers watered.
• Little did she know she was arrested.
• Under no circumstances should she put herself in danger.
• Scarcely had Kate arrived in Moscow when she was arrested.

By following these steps, we've created coherent sentences that make sense in English. If you have any further questions or need clarification, feel free to ask!