Question

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quadrilateral r is a scaled copy of quadrilateral q.

quadrilateral q (with side 14 and 9) quadrilateral r (with side 42 and 27)
what scale factor takes quadrilateral q to quadrilateral r?
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Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) from a figure \(A\) to a figure \(B\) (where \(B\) is a scaled - copy of \(A\)) is given by \(k=\frac{\text{length of a side in }B}{\text{length of the corresponding side in }A}\).

Step2: Identify the corresponding sides

Let's assume the side of length \(9\) in quadrilateral \(Q\) corresponds to the side of length \(27\) in quadrilateral \(R\).

Step3: Calculate the scale factor

Using the formula \(k = \frac{27}{9}\) (since \(R\) is the scaled - copy of \(Q\)).

$$k=\frac{27}{9}=3$$

Answer:

\(3\)