Question:
Find the scale factor of trapezoid [tex]\mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}[/tex] if it is dilated to [tex]\mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}[/tex].
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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:
[tex]QR = 4\ units[/tex]
[tex]Q'R' = 8\ units[/tex]
The scale factor (k) from [tex]\mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}[/tex] to [tex]\mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}[/tex]. is:
[tex]k = \frac{Q'R'}{QR}[/tex]
[tex]k = \frac{8\ units}{4\ units}[/tex]
[tex]k =2[/tex]
