IMAT 2012-Q78 Geometry

Hey! Do anyone knows how to solve this question? :pleading_face:
Thanks :two_hearts::hugs:

This question has been answered before:)
As said in the question R is the rotation about the origin and maps A to B ---->c----->D.
If we rotate R twice we are at A.
S leaves us at A(as it’s simply reflection).
R again takes us to B.
S again leaves us off the pentagon and R does not put us back on.
So the correct option is A.
Hope it helps:)