Question

geometry basics constructing segments
a •——||——• b
c •——||——• d
lucia constructed \\(\overline{cd}\\) as a copy of \\(\overline{ab}\\) using a straightedge and compass. what can lucia say about \\(ab\\) and \\(cd\\)?
(1 point)
\\(\circ\\) \\(ab = \frac{1}{2}cd\\)
\\(\circ\\) \\(ab = cd\\)
\\(\circ\\) \\(ab = 2cd\\)
\\(\circ\\) \\(ab = \frac{1}{4}cd\\)

Explanation:

Step1: Recall segment copying

When a segment is copied using a straightedge and compass, the copied segment has the same length as the original.

Step2: Analyze the options

Since \(\overline{CD}\) is a copy of \(\overline{AB}\), their lengths are equal, so \(AB = CD\).

Answer:

\(AB = CD\) (the option with \(AB = CD\))