Question

1.4.7 check your understanding
fh is shown with points s, w, and z.
complete the statements.
point z 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 zh is 1/2
= wz = wh = zh = fh

Explanation:

Step1: Recall mid - point definition

A mid - point divides a line segment into two equal segments. Point Z is the mid - point of $\overline{WH}$ because it divides segment $\overline{WH}$ into two segments of equal length.

Step2: Understand dilation

The scale factor that can be used to dilate $\overline{WH}$ to create $\overline{ZH}$ is $\frac{1}{2}$ since the length of $\overline{ZH}$ is half of the length of $\overline{WH}$.

Answer:

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