Drawing the mirror image of a molecule is an important skill in organic chemistry. We can use this technique to determine if a molecule is chiral or not.
To prove that the original molecule is chiral, we need to check to see if the refelcted molecule is superimposable on the original molecule. To do this you imagine taking pulling the structure out of the mirror and rotate it 180o and then see if all the atoms occupy the same positions. In this case A nd B are not superimposable and there fore A is not the same as B. Therefore A is chiral (as is B) and they are enantiomers of one another.