Question

question 1 - 15 else is copying line segment $overline{cd}$. she begins by drawing a line with her straightedge and marking a point $p$ on the line. she then places the point of her compass at $c$ and opens the compass so the pencil is at $d$. how should else complete her copy, $overline{pq}$? draw a circle $overline{pq}$ is the diameter of the circle move the point of the compass to $p$ and draw an arc that passes through her line point $q$ is the intersection of the arc and the line move the point of the compass to $p$ and draw a circle $overline{pq}$ is the diameter of the circle draw an arc that passes through her line point $q$ is the intersection of the arc and the line

Explanation:

Step1: Recall compass - usage for line - segment copying

To copy a line - segment using a compass, we need to set the compass width equal to the length of the given line - segment.

Step2: Analyze the steps

If Else wants to copy line - segment $\overline{CD}$ to get $\overline{PQ}$, she first marks point $P$ on a line. Then she places the compass at $C$ and opens it to reach $D$. To complete the copy of $\overline{PQ}$, she should move the point of the compass to $P$ and draw an arc that passes through a point $Q$ such that the length of $\overline{PQ}$ is equal to the length of $\overline{CD}$. This is achieved by moving the point of the compass to $P$ and drawing an arc that passes through her line and point $Q$ is the intersection of the arc and the line.

Answer:

Draw an arc that passes through her line. Point $Q$ is the intersection of the arc and the line.