Question

zy is dilated to create nr. the center of dilation is point b. the length of zy is 1.75 units and the length of nr is 7 units. what is the scale factor that was used to create nr?

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. That is $k=\frac{\text{length of dilated segment}}{\text{length of original segment}}$.

Step2: Identify the segments

The original segment is $ZY$ with length $1.75$ units and the dilated segment is $NR$ with length $7$ units.

Step3: Calculate the scale factor

$k = \frac{7}{1.75}=\frac{7}{\frac{7}{4}}=4$

Answer:

$4$