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

Step-by-step 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:

$k = \frac{Q'R'}{QR}$

$k = \frac{8\ units}{4\ units}$

$k =2$