Question

reflection, then translation reflection, then rotation rotation, then reflection rotation, then translation

Explanation:

Step1: Analyze the transformation from figure 1 to figure 3

• First, observe the orientation of figure 1 and figure 3. Figure 1 needs to be rotated to match the orientation of the part of figure 3 (excluding the translation part).
• Then, after rotating figure 1 (a 180 - degree rotation for example, depending on the grid - based shape analysis), it needs to be translated (moved up and to the left in the grid) to get to the position of figure 3.

Step2: Analyze the transformation from figure 2 to figure 3

• Figure 2 and figure 3 have a similar orientation. Figure 2 just needs to be translated (moved up and to the right in the grid) to get to the position of figure 3. But since the question is about the transformation from figure 1 to figure 3 (assuming a general transformation rule exploration), we focus on the non - trivial transformation (from 1 to 3).

Answer:

rotation, then translation