Question

what combination of transformations is shown below? rotation, then reflection translation, then reflection rotation, then translation translation, then rotation

Explanation:

1. First, analyze the transformation from figure 1 to figure 2 (or 3). A rotation involves turning a figure around a fixed point. Here, figure 1 seems to be rotated around the common vertex to get a position, and then a reflection (flipping over a line) to get the other figure (like between figure 2 and 3, which are mirror images).
2. Translation is sliding, but there's no sliding; rotation first (changing orientation around a point) then reflection (mirroring) matches the figures. The other options: translation then reflection/rotation don't fit as there's no sliding, and rotation then translation is incorrect. So the correct combination is rotation, then reflection.

Answer:

rotation, then reflection