Use the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0ALucia constructed CD¯¯¯¯¯¯¯¯%0D%0A𝐶%0D%0A𝐷%0D%0A¯%0D%0A as a copy of AB¯¯¯¯¯¯¯¯%0D%0A𝐴%0D%0A𝐵%0D%0A¯%0D%0A using a straightedge and compass. What can Lucia say about AB%0D%0A𝐴%0D%0A𝐵%0D%0A and CD%0D%0A𝐶%0D%0A𝐷%0D%0A?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AAB=2CD%0D%0A𝐴%0D%0A𝐵%0D%0A=%0D%0A2%0D%0A𝐶%0D%0A𝐷%0D%0A.%0D%0Am Modifying above upper A upper B with bar .%0D%0A%0D%0AAB=14CD%0D%0A𝐴%0D%0A𝐵%0D%0A=%0D%0A1%0D%0A4%0D%0A𝐶%0D%0A𝐷%0D%0A.%0D%0Am Modifying above upper A upper B with bar .%0D%0A%0D%0AAB=CD%0D%0A𝐴%0D%0A𝐵%0D%0A=%0D%0A𝐶%0D%0A𝐷%0D%0A.%0D%0Am Modifying above upper A upper B with bar .%0D%0A%0D%0AAB=12CD%0D%0A𝐴%0D%0A𝐵%0D%0A=%0D%0A1%0D%0A2%0D%0A𝐶%0D%0A𝐷%0D%0A.
1 answer
Given that Lucia constructed line segment \( \overline{CD} \) as a copy of segment \( \overline{AB} \) using a straightedge and compass, we can conclude that the two segments are equal in length.
Therefore, the correct response is:
\[ AB = CD \]
or
\[ \overline{AB} = \overline{CD} \]
This means that:
\[ \overline{A\ B} = \overline{C\ D} \]
