Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:

What transformation did Kim perform to create rectangle A'B'C'D'?

Rotation of 270 degrees counterclockwise about the origin
Reflection across the line of symmetry of the figure
Reflection across the y‐axis
Rotation of 90 degrees counterclockwise about the origin

Rotation of 90 degrees counterclockwise about the origin.

Step-by-step explanation:

Transformation is a process by which a given object is manipulated with respect to its coordinate to produce an image. The types are: translation, rotation, reflection and dilation.

A rotational transformation turns a given shape either clockwise or anticlockwise about its center of rotation. The object is the same shape and size with the image, but turned in different directions.

It can be observed that in the diagram given, the object was rotated 90 degrees counterclockwise about the origin to produce the image. This can be observed by considering the initial and final coordinates of points ABCD. Example, the initial coordinate of point A was (-1, 2) which turns to A'(-2, -1).