Question

line segment ab is dilated to create line segment ab using point q as the center of dilation. what is the scale factor? 1 1.25 2 2.5

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) for a dilation with center \(Q\) is given by \(k=\frac{QA'}{QA}\)

Step2: Substitute the values

From the figure, \(QA' = QA + 1.25\), and \(QA=1.25\). So \(QA'=1.25 + 1.25=2.5\). Then \(k=\frac{QA'}{QA}=\frac{2.5}{1.25}\)

Step3: Calculate the value

\(\frac{2.5}{1.25}=2\)

Answer:

2