Question

In the figure above, rectangle V'W'X'Y' is a dilation of rectangle VWXY. What is the scale factor of the dilation?

A. 0.25
B. 2
C. 3/4
D. 1/4

Answer 1

D.
`(1)/(4)`

Explanation:

Rectangle VWXY after dilation, became compressed to rectangle V'W'X'Y'.

This makes both rectangles similar. It follows that the corresponding side lengths or segments of both figure would be proportional. Thus, the scale factor of the dilation would be:

`(W'X')/(WX)`

W'X' = 5

WX = 20

Plug in the values

`(5)/(20)`

Simplify

`scale factor = (1)/(4)`