Question

Does the construction demonstrate how to copy a segment correctly by hand? O yes; the compass was kept at the same width as segment ab to create the arc from point c. O yes; a straightedge was used to create ray c. O no; the compass was not kept at the same width as segment ab to create the arc from point c. O no; a straightedge was used to create ray c.

Answer 1

The correct method to copy a segment involves keeping the compass at the same width as the original segment to draw an arc and then using a straightedge to draw a ray that intersects the arc, which results in a segment of the same length.

Step-by-step explanation:

To correctly copy a line segment by hand using compass and straightedge construction, the following steps should be followed:

1. Place the point of the compass on one end of the segment and adjust its width to the length of the segment.
2. Without changing the width of the compass, move it to the point where you want your new segment to start.
3. Draw an arc from this point; the arc marks the possible locations for the other end of the new segment.
4. Use a straightedge to draw a ray from the starting point through the arc.
5. Where the ray intersects the arc is the other end of the new segment, ensuring both segments are the same length.

Based on this process, the correct response to the student's question is "yes; the compass was kept at the same width as segment AB to create the arc from point C." This ensures that the new segment is the same length as the original one. Then, a straightedge is used to draw ray C, which will intersect the arc at the point that defines the end of the copied segment.