Question

line segment su is dilated to create su using point q as the center of dilation. the scale factor of the dilation is

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) of a dilation with center \(Q\) is given by \(k=\frac{QS'}{QS}\) (or \(\frac{QU'}{QU}\))

Step2: Identify the lengths

From the figure, \(QS' = 4 + 4=8\), \(QS = 4\)

Step3: Calculate the scale factor

\(k=\frac{QS'}{QS}=\frac{8}{4} = 2\)

Answer:

\(2\)