Question

what combination of transformations is shown below? image of a grid with three colored shapes labeled 1, 2, 3 options: rotation, then reflection; translation, then rotation; translation, then reflection; rotation, then translation

Explanation:

Step1: Analyze Initial Transformation (Rotation)

First, observe the blue figure (1) and the green figure (3). The blue figure seems to be rotated (e.g., 90 - degree rotation) to get the green figure. So the first transformation is rotation.

Step2: Analyze Second Transformation (Translation)

Then, the green figure (3) is translated (moved) horizontally to get the yellow figure (2). So the second transformation is translation. Thus, the combination is rotation, then translation.

Answer:

D. rotation, then translation (assuming the last option is D; if options are labeled as per the order: the last option "rotation, then translation")