Question

what single transformation was applied to quadrilateral a to get quadrilateral b?

Explanation:

Step1: Observe orientation change

Notice that the shape and size of the quadrilaterals are the same, but the orientation of quadrilateral B is different from A. By comparing the relative positions of the vertices, we can see that a rotation has occurred.

Step2: Determine rotation center and angle

Assume the rotation is around the origin (since no other center - point is indicated). By looking at the direction and magnitude of the change in orientation, we can see that quadrilateral A has been rotated 90 degrees clock - wise to get quadrilateral B.

Answer:

90 - degree clock - wise rotation