Which one of these transformations would produce an image that is not congruent to its pre-image?

O A translation followed by a reflection

O A rotation of 90 degrees about the origin

O A dilation followed by a rotation

O A translation of (x + 3. y + 4)

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?