The figure shows two triangles on a coordinate grid:

What set of transformations is performed on triangle ABC to form triangle A′B′C′?


a

A 180 degree counterclockwise rotation about the origin followed by a translation 5 units up


b

A 270 degree counterclockwise rotation about the origin followed by a translation 5 units up


c

A translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin


d

A translation 5 units to the left followed by a 270 degree counterclockwise rotation about the origin