Question
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
(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 .
(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 .
Answers
GPT-4o mini
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.**
\( AB = CD \).
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.**