The figure shows a construction completed by hand.
The construction has a given segment AB. A ray has been created from point C. There is an arc on ray C that was created with a compass that is the same distance between points A and B. The arc creates point D on ray C.
Does the construction demonstrate how to copy a segment correctly by hand? Explain why or why not by describing how it was constructed.
No, the construction does not demonstrate how to copy a segment correctly by hand.
To copy a segment correctly by hand, we would need to use a compass and a straightedge. However, in the given construction, only a compass is used. The compass is used to create an arc on ray C, but this arc does not necessarily have the same length as the segment AB. Even if the arc happens to have the same length as AB, the process of creating it is not explained or demonstrated.
Copying a segment correctly by hand involves a specific construction process using a compass and a straightedge. It typically includes steps such as creating congruent angles, drawing perpendiculars, and measuring lengths accurately. None of these steps are demonstrated or explained in the given construction. Therefore, it does not show how to copy a segment correctly.