Question

Trapezoid RSTV∼trapezoid WXYZ .

What is the scale factor of a dilation from RSTV to WXYZ ?

a. 14/25

b. 4/5

c. 7/8

d. 7/10

Answer 1

Correct option is D

Scale factor of dilation is
`(7)/(10)`

Explanation:

Given the two similar figures

Trapezoid RSTV∼trapezoid WXYZ

We have to scale factor of dilation from RSTV to WXYZ.

As the two trapezoid are similar therefore their ratio of corresponding sides gives the scale factor of dilation.

Hence,
`\text{scale factor of dilation is=}(WX)/(RS)=(WZ)/(RV)`

i.e
`(28)/(40)=(35)/(50)=(7)/(10)`

Hence, scale factor of dilation is
`(7)/(10)`