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. 343 fourths
D. 14

Answer 1

D.
`(1)/(4)`

Explanation:

Given that rectangle V'W'X'Y' is a dilation of rectangle VWXY, this means that the dimensions of rectangle VWXY was reduced by to get the dimensions of V'W'X'Y'.

Therefore, the ratio of any segment of V'W'X'Y', to a corresponding segment of VWXY would be equal to the scale factor.

W'X' = 5

WX = 20

Therefore:

Scale factor =
`(5)/(20) = (1)/(4)`.

A scale factor that is a fraction tells us that the original figure reduced in size resulting into another new figure whose sides are of proportional lengths to the original figure.

In other words, the original figure was compressed go form a new figure.