The figure shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair 4, 1, vertex B on ordered pair 3, 1, and vertex C on ordered pair 4, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 4, 4, vertex B prime on ordered pair negative 3, 4, and vertex C prime on ordered pair negative 3, 1.
What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points)

a
A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin

b
A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin

c
A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down

d
A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down