Final answer:
The scale factor from Figure 1 to Figure 3 is 1/3, and the center of dilation that maps Figure 1 to Figure 3 is Point C.
Step-by-step explanation:
The scale factor from Figure 1 to Figure 3 can be found by multiplying the scale factors from Figure 1 to Figure 2 and from Figure 2 to Figure 3. The scale factor from Figure 1 to Figure 2 is 1/2, and the scale factor from Figure 2 to Figure 3 is 2/3. Multiplying these two fractions gives us (1/2) * (2/3) = 1/3. Therefore, the scale factor from Figure 1 to Figure 3 is 1/3.
The center of dilation that maps Figure 1 to Figure 3 is Point C. A dilation is a transformation that changes the size of an object but not its shape. In this case, Figure 3 is 1/3 the size of Figure 1, and the center of dilation is the point that remains fixed during the dilation.