Question

Find the scale factor of trapezoid \mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}QRST if it is dilated to \mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}Q ′ R ′ S ′ T ′ . Type your result in the empty box provided below.

Answer 1

Question:

Find the scale factor of trapezoid
`\mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}` if it is dilated to
`\mathrm{Q}^(') \mathrm{R}^(') \mathrm{S}^(') \mathrm{T}^(')`.

Type your result in the empty box provided below.

Answer:

The scale factor is 2

Explanation:

Given

See attachment for plots

Required

Determine the scale factor

Using QR and Q'R' as points of reference.

From the attached plot, we have:

`QR = 4\ units`

`Q'R' = 8\ units`

The scale factor (k) from
`\mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}` to
`\mathrm{Q}^(') \mathrm{R}^(') \mathrm{S}^(') \mathrm{T}^(')`. is:

`k = (Q'R')/(QR)`

`k = (8\ units)/(4\ units)`

`k =2`