Figure 2 is a mirror image of Figure 1. Translation moves a figure in a way that keeps the proportional sides parallel. Figure 1 2in , 6.4 in figure 2 9.6 in , x

3
6
8
9

The correct answer is 8.

Since Figure 2 is a mirror image of Figure 1, the corresponding side lengths in Figure 2 will have the same proportions as in Figure 1.

We can set up a proportion using the side lengths of Figure 1 and Figure 2:

2/6.4 = 9.6/x

Cross multiplying gives us:

2x = 9.6 * 6.4

2x = 61.44

x = 61.44/2

x ≈ 30.72

Therefore, the length of the corresponding side in Figure 2 (x) is approximately 30.72.