Question

1.4.7 check your understanding
\\(\overline{fh}\\) is shown with points s, w, and z.
point s is the mid - point of because it divides segment into two segments of equal length. the scale factor that can be used to dilate to create \\(\overline{fs}\\) is \\(\frac{1}{2}\\).

Explanation:

Step1: Recall mid - point definition

A mid - point divides a line segment into two equal parts. Here, point S divides segment $\overline{FH}$ into two equal segments.

Step2: Analyze dilation

When we dilate a segment to get half of it, if we start with the whole segment and want to get to the segment from the start - point to the mid - point, we use a scale factor of $\frac{1}{2}$.

Answer:

Point S is the midpoint of $\overline{FH}$ because it divides segment $\overline{FH}$ into two segments of equal length. The scale factor that can be used to dilate $\overline{FH}$ to create $\overline{FS}$ is $\frac{1}{2}$.