Option B is correct. The single transformation that was applied to quadrilateral A to get quadrilateral b is Rotation
Images are reflections of each other if they are mirror images. Since the images given are not mirror images of each other, hence Reflection is incorrect
For translation and dilation, one of the images will be either bigger or smaller than the other. Since both images are the same in size, hence translation is incorrect
This leaves only rotation which is the right answer. For rotation, the new image must preserve at least one point of its original image.
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