Question

determine whether the dilation from figure n to n′ is an enlargement or a reduction. find the scale factor of the dilation.

Explanation:

Step1: Compare figure sizes

Since figure $N'$ is larger than figure $N$, it is an enlargement.

Step2: Calculate scale - factor

The distance from the center of dilation to a point on $N$ is 5, and the distance from the center of dilation to the corresponding point on $N'$ is 10. The scale factor $k=\frac{\text{distance to }N'}{\text{distance to }N}=\frac{10}{5} = 2$.

Answer:

It is an enlargement. The scale factor is 2.