Questions & Answers about Кошка моргнула и снова посмотрела на меня.
Because кошка is the subject of the sentence — the cat is the one doing the actions.
In Russian, the subject normally goes in the nominative case, so:
- кошка = nominative, the cat
- кошку = accusative, the cat as a direct object
Here, the cat blinked and looked, so it must be nominative: кошка.
These are past tense feminine singular forms.
In Russian past tense, verbs agree with the subject in gender and number:
- masculine: моргнул
- feminine: моргнула
- neuter: моргнуло
- plural: моргнули
Since кошка is a feminine noun, the verbs are feminine too:
- кошка моргнула
- кошка посмотрела
This is very common in the past tense.