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lukranit [14]
3 years ago
10

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.
Mathematics
1 answer:
amid [387]3 years ago
4 0

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

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