Lucia constructed CD¯¯¯¯¯¯¯¯ as a copy of AB¯¯¯¯¯¯¯¯ using a straightedge and compass. What can Lucia say about AB and CD? which is the true correct answer solve it and tell me why

Question

(1 point)
Responses

AB=CD.
m Modifying above upper A upper B with bar .

AB=2CD.
m Modifying above upper A upper B with bar .

AB=12CD.
m Modifying above upper A upper B with bar .

AB=14CD.
m Modifying above upper A upper B with bar .

Answer 1

If Lucia constructed line segment \( \overline{CD} \) as a copy of line segment \( \overline{AB} \), then it means that the lengths of \( \overline{AB} \) and \( \overline{CD} \) are equal. Therefore, the correct statement is:

\( AB = CD \).

This is true because a "copy" in geometric construction using a straightedge and compass means that the two segments have the same length. Hence, the answer is:

AB = CD.