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
Based on the information given, we know that Figure 2 is a mirror image of Figure 1. This means that the corresponding sides of Figure 1 and Figure 2 are parallel.
In Figure 1, we have:
Length of the longer side = 2 in
Length of the shorter side = 6.4 in
Since the corresponding sides of Figure 2 are parallel, the longer side of Figure 2 would also be 2 in. However, the length of the shorter side of Figure 2 can be determined by scaling up the corresponding side of Figure 1.
The scaling factor can be found by dividing the length of the shorter side of Figure 2 (which is x) by the length of the shorter side of Figure 1 (which is 6.4 in):
Scaling factor = x / 6.4
Now, we can calculate the length of the shorter side of Figure 2:
Length of the shorter side of Figure 2 = Scaling factor * Length of the shorter side of Figure 1
= (x / 6.4) * 6.4
= x
So, in Figure 2, the lengths of the sides are:
Length of the longer side = 2 in
Length of the shorter side = x
Therefore, the dimensions of Figure 2 are 9.6 in and x.