Question

what combination of transformations is shown below?rotation, then translationreflection, then rotationrotation, then reflectionreflection, then translation

Explanation:

Step1: Analyze the transformation from figure 1 to figure 2

First, we observe the orientation change from figure 1 to figure 2. A reflection flips a figure over a line. The shape of figure 2 relative to figure 1 is not just a rotation or translation. But if we consider the overall change in position and orientation, we note that after a rotation (to change the orientation in a rotational - like sense) and then a reflection (to get the final position and orientation relative to the original in terms of flipping), we can get from figure 1 to figure 2.

Step2: Analyze the transformation from figure 1 to figure 3

For figure 3, we again check the orientation. A rotation changes the angle of the figure. If we first rotate figure 1 (to adjust the angle) and then reflect (to get the final position and orientation with respect to the coordinate - grid - like position), we can obtain figure 3.

Answer:

rotation, then reflection