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.

Answers

Answer 1

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].

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:

[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]

$Find The Scale Factor Of Trapezoid \mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}QRST If It Is Dilated To \mathrm{Q}^{'}$

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Step-by-step explanation:

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[tex]\huge\text{Hey there!}[/tex]

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[tex]\boxed{\boxed{\large\textsf{Therefore, your \underline{answer} is: \huge \bf x = 3 }}}\huge\checkmark[/tex]

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