Question

construction - copying a segment
construct a segment whose length is equivalent to \\(\overline{yz}\\).

a) use your straightedge to draw a long line and label point d
anywhere on the line.

Explanation:

Step1: Draw line, mark point D

Use straightedge to draw a long line, label point D on it.

Step2: Measure segment $\overline{YZ}$

Open compass to length of $\overline{YZ}$ (place one end at Y, the other at Z).

Step3: Transfer length to new line

Place compass tip at D, draw an arc that intersects the line. Label the intersection point E.

Answer:

The constructed segment is $\overline{DE}$, which has the same length as $\overline{YZ}$.