What is the isometric transformation that flips a figure across a line, creating a mirror image? what is the isometric transformation that turns a figure a certain number of degrees around a central point?

The answer to the first question is "reflection". 

The answer to the second question is "rotation"

Note: A rotation can be composed of two reflections if you angle the mirror lines just perfectly. 

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.

Idon’t know actually is more difficult