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 given information, we can conclude that Figure 2 is a scaled-up version of Figure 1 through a translation.
Since the sides of Figure 2 are proportional to the sides of Figure 1, we can set up a proportion and solve for the missing value x:
2in / 6.4in = 9.6in / x
Cross multiplying, we get:
2in * x = 6.4in * 9.6in
2x = 61.44in^2
x = 61.44in^2 / 2
x ≈ 30.72in
Therefore, the missing value, x, is approximately 30.72 inches.
Wrong
I apologize for the mistake. Thank you for pointing it out.
If Figure 2 is a mirror image of Figure 1, it means that they have the same shape but are flipped horizontally or vertically. In this case, the proportional sides would still remain parallel, but the lengths would change.
Based on the given information:
Figure 1: 2in, 6.4in
Figure 2: 9.6in, x
Since Figure 2 is a mirror image of Figure 1, the corresponding sides should have the same lengths. This means that the length of the first side of Figure 1 (2in) should be equal to the length of the second side of Figure 2, and the length of the second side of Figure 1 (6.4in) should be equal to the length of the first side of Figure 2.
So, we have:
2in = x
6.4in = 9.6in
Simplifying the second equation, we find that 6.4in = 9.6in is not true. Therefore, Figure 2 cannot be a mirror image of Figure 1 according to the given information.