Question

dilations
what is the scale factor of the dilation of line segment ba?
4
\\( \frac { 1 } { 5 } \\)
\\( \frac { 1 } { 4 } \\)
5

Explanation:

Step1: Recall the formula for scale factor

The scale factor \(k\) of a dilation is given by \(k=\frac{\text{length of image segment}}{\text{length of original segment}}\). Here, we can use the lengths from the center of dilation \(C\) to the points. So \(k = \frac{CA'}{CA}\).

Step2: Substitute the values

We know that \(CA = 4\) and \(CA'=16\). Then \(k=\frac{16}{4}=4\).

Answer:

4