Question

copying a segment

copy pq to the line with an endpoint at r.

this task will be complete when you have drawn an arc intersecting the line to create a segment with length pq.

Explanation:

🆕 New Concept Discovered: Compass and Straightedge Construction
Using physical or digital tools to copy geometric lengths precisely.

Step 1: Measure the original segment length

To copy the segment \( PQ \), we must first set our compass to match its exact length.

1. Place the sharp anchor point of the compass tool directly on point \( P \).
2. Adjust the width of the compass so that the pencil tip rests precisely on point \( Q \).

Step 2: Transfer the measurement to the new line

Now that the compass is locked to the length of \( PQ \), we transfer this distance to the target line containing point \( R \).

1. Without changing the width of the compass, move the sharp anchor point and place it directly on point \( R \).
2. Draw an arc that crosses the horizontal line on either the left or right side of \( R \).

Step 3: Identify the new segment

The intersection of your drawn arc and the horizontal line creates a new point (let's call it \( S \)). The segment \( RS \) will have the exact same length as the original segment \( PQ \).

Answer:

1. Place the compass anchor on \( P \) and stretch the pencil to \( Q \) to measure the length.
2. Move the compass anchor to \( R \) without changing the width.
3. Draw an arc that intersects the horizontal line to mark the endpoint of the copied segment.