Hello there. To solve this question, we'll have to remember some properties about rotations.
We know that the point P was rotated by 120º and we have to determine where it was before the rotation (that is, its image), based on the choices A, B, C and D.
First, we know the center of rotation.
This of the center as the center of a circle, as follows:
Of course, in this case the circle wasn't drawn in scale, such that it looks C would be the right answer directly, but we still have to determine whether or not it is possible.
Notice that they didn't say if the rotation was done clock or counterclockwise, hence we have to assume it was done clockwise.
Therefore the only options for us would be C or D.
But notice D is too far from the center, in comparison to the distance between the center and P.
Hence, it might be a point that is closer to the center.
Again, we don't have an information on how many degrees we're turning, but we have to assume that C, being the only option left, is the image of P before it was rotated clockwise.
It means that
Therefore C is the right answer to this question.
