The image of polygon mnop after transformation is polygon wxyz. note that both figures are similar. each side of mnop is 2 times as long as the corresponding side of wxyz. what is the scale factor of the dilation in the similarity transformation?

0.5

Step-by-step explanation:

Given: The image of polygon MNOP after transformation is polygon WXYZ.

let x be any side length of polygon MNOP and y be the side length of polygon WXYZ.

We know that for dilation with scale factor k, the side length of the figure image is k times the side length of the given figure.

Thus, y=kx..........(1)

Since, each side of MNOP is 2 times as long as the corresponding side of WXYZ.

Then .........(2)

Therefore, k=0.5 [from (1) and (2)]

Hence, the scale factor of the dilation in the similarity transformation= 0.5