a. Are the following triangles congruent? If so, which postulate or theorem proves this? b. What transformation moved one triangle to the position of the other?

Answer:
Yes by SAS
Step-by-step explanation:
If you look at the triangles they have 2 side lenght in common (and since it is a right triange they have all the sides in commmon) and they share an angel
In other words 2 sides are conurent with an angle betwene them.
You would need to rotait the shape 90 degrese.