Use the graph to answer the question.
Which series of transformations correctly maps parallelogram ABCD to parallelogram A′B′C′D′?

a 90∘ counterclockwise rotation about the origin, followed by a reflection in the y-axis
a 180∘ counterclockwise rotation about the origin, followed by a reflection in the y-axis
a 90∘ counterclockwise rotation about the origin, followed by a reflection in the x- axis
a 180∘ counterclockwise rotation about the origin, followed by a reflection in the x-axis