Question

a42 name: lesson 3 practice problems 1. pentagon ( a^{prime} b^{prime} c^{prime} d^{prime} e^{prime} ) is the image of pentagon ( a b c d e ) after a dilation centered at ( f ). what is the scale factor of this dilation?

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) of a dilation is given by \(k=\frac{\text{length of a side in the image}}{\text{length of the corresponding side in the original figure}}\)

Step2: Identify corresponding sides

Take side \(AA'\). The length of \(AA' = 10\) (image side) and the length of \(AB= 5\) (original side)

Step3: Calculate the scale factor

Using the formula \(k=\frac{10}{5}=2\)

Answer:

\(2\)