the parallelogram bcde is a dilation of the parallelogram bcde. what is the scale factor of the dilation…

Explanation:

Step1: Select corresponding side lengths

Let's consider the horizontal - side lengths of the parallelograms. For parallelogram BCDE, the length of BC can be found by looking at the x - coordinates of B and C. B is at x=-4 and C is at x = 4, so the length of BC is (4-(-4)=8). For parallelogram B'C'D'E', the length of B'C' can be found. B' is at x=-1 and C' is at x = 1, so the length of B'C' is (1 - (-1)=2).

Step2: Calculate the scale factor

The scale factor (k) of a dilation is given by the ratio of the length of a side of the dilated figure to the length of the corresponding side of the original figure. So (k=\frac{\text{length of side in dilated figure}}{\text{length of corresponding side in original figure}}=\frac{B'C'}{BC}). Substituting the values we found: (k = \frac{2}{8}=\frac{1}{4}).

Answer:

(\frac{1}{4})