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 negative 4, negative 1, vertex B on ordered pair negative 3, negative 1 and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4. What set of transformations is performed on triangle ABC to form triangle A'B'C'? A translation 5 units up, followed by a 270-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units up A 180-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 180-degree counterclockwise rotation about the origin

"The figure shows two triangles on the coordinate grid" the set of transformations is performed on triangle ABC to form triangle A'B'C' is A 180-degree counterclockwise rotation about the origin followed by a translation of 5 units to the right. Option C. This is further explained below.

What are transformations?

Generally, transformations are simply defined as a procedure through which one figure or expression is changed into another one of comparable value.

In conclusion, A 180-degree counterclockwise rotation around the origin is followed by a 5-unit translation to the right to produce triangle A'B'C'.