Question

fh is shown with points s, w, and z. complete the statements. point w is the mid - point of sz because it divides segment sz into two segments of equal length. the scale factor that can be used to dilate to create wz is 1/2.

Explanation:

Step1: Recall mid - point definition

A mid - point divides a line segment into two equal parts. Given that point $W$ is the mid - point of $\overline{SZ}$, it divides $\overline{SZ}$ into two segments of equal length.

Step2: Understand dilation

The scale factor for dilation from a segment to half of it is $\frac{1}{2}$. To create $\overline{WZ}$ from $\overline{SZ}$, since $W$ is the mid - point of $\overline{SZ}$, the segment $\overline{SZ}$ is being dilated by a scale factor of $\frac{1}{2}$.

Answer:

$\overline{SZ}$