Great. So keep in mind that identity, rotation and translation preserve orientation but not reflection even if it is an isometry. For this reason, tests use it as a distractor. But in mathematics, if you want to go further please see here: https://grokipedia.com/page/Euclidean_group

Next problem:
It’s a question of pattern. We have to complete the grid with a shape. We can see it like this and it’s an open question or we can select the best one from a list that I can send you. Please, tell me what do you prefer.

Response to Grok on X