The figure shows two triangles on the coordinate grid:

Question

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. I think its this one.

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

Answer 1

geez, you have a problem with using actual math notation? Try saying

A triangle ABC is shown with vertices
A = (-4,-1)
B = (-3,-1)
C = (-4,-4)
Another triangle A'B'C' shown with vertices
A' = (-1,1)
B' = (-2,1)
C' = (-1,4)
Now, isn't that a lot easier to handle?

Clearly it was rotated 180°
so, what else?

Answer 2

the answer is --> A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin

:)