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
To keep the proportional sides parallel, the translation must maintain the same ratio between the lengths of the sides.
In Figure 1, the length of one side is 2 inches and the length of the other side is 6.4 inches. The ratio between these two sides is 2:6.4, or simplified as 1:3.2.
To find the corresponding length of the second figure (Figure 2) while maintaining the same ratio, we can multiply the length of one side of Figure 1 (2 inches) by the same ratio of 1:3.2.
2 inches * 3.2 = 6.4 inches.
Therefore, in Figure 2, the length of one side is 9.6 inches, and the length of the other side is 6.4 inches.