The side in Figure 2 that corresponds to side CD in Figure 1 is MP. Hence, option C is correct.
To identify the side in Figure 2 that corresponds to side CD in Figure 1, we need to find the side in Figure 2 that is proportional to side CD. The ratio of the corresponding sides in Figure 2 to Figure 1 should be the same as the scale factor between the two figures.
Let's calculate the scale factor by comparing the lengths of corresponding sides:
Scale factor = (Length of corresponding side in Figure 2) / (Length of corresponding side in Figure 1)
For side CD in Figure 1:
Scale factor = BC / NO = 2 / 7
Now, find the corresponding side in Figure 2:
Length of corresponding side in Figure 2 = Scale factor * Length of corresponding side in Figure 1
Length of corresponding side in Figure 2 = (2 / 7) * 7 = 2
So, the side in Figure 2 that corresponds to side CD in Figure 1 is MP.
Therefore, the correct answer is:
c. MP