Question

in the following graph, in what order did the transformations occur? image of triangles on coordinate plane options: reflected, then translated; rotated, then reflected; rotated 180°, then translated; translated, then rotated 180°

Explanation:

To determine the transformation sequence, we analyze the positions and orientations of the triangles. First, a reflection (over a vertical line, likely the y - axis) would flip the triangle across the axis. Then, a translation (a shift in position) would move it to the final location. Looking at the options, the sequence "reflected, then translated" matches the visual transformation of the triangles. The other options like rotation followed by reflection or rotation - related sequences do not align with the visual change (the orientation change from reflection and then position change from translation is more evident than rotational changes).

Answer:

A. reflected, then translated