The figure below shows two triangles on a 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 negative 4, 1 vertex b on ordered pair negative 3,1, and vertex c on ordered pair negative 4, 4. another triangle a prime b prime c prime is shown with vertex a prime on ordered pair 4, 4, vertex b prime on ordered pair 3, 4, and vertex c prime on ordered pair 4,1.
what set of transformations is performed on triangle abc to form triangle a′b′c′?
a 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down
a translation 5 units down followed by a 180-degree counterclockwise rotation about the origin
a 270-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right
a translation 5 units to the right, followed by a 270-degree counterclockwise rotation about the origin