Can you help me with this

Drag each sequence of transformations to the correct location on the table. classify the sequences of transformations based on whether or not they prove the congruency of the shapes by mapping shape i onto shape ii. plz i'll rate u 5 stars need this done for a mastery test

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Math it's appreciated. (picture provided)