what is the scale factor of the dilation of line segment ba?\no $\frac{1}{5}$\no $\frac{1}{4}$\no 4\no 5

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ of a dilation is given by the ratio of the length of the dilated segment to the length of the original segment. If we consider the distances from the center of dilation $C$ to the endpoints of the segments, the scale factor $k=\frac{CA'}{CA}$.

Step2: Identify lengths

We are given that $CA = 4$ and $CA'=16$.

Step3: Calculate scale factor

$k=\frac{CA'}{CA}=\frac{16}{4}=4$.

Answer:

4