Question

1. frankie constructed (overline{ab}) using a compass and a straightedge. he then placed point c so that it was not on the segment he just constructed, as shown in the image. what is the next step frankie must take to construct a copy of (overline{ab}) using point c as one of the endpoints?

(image: segment ( overline{ab} ) with endpoints a, b; ray from point c)
(4 points)
options:

• use a compass, measure the distance between points a and c
• use a compass, measure the distance between points a and b
• use a compass, measure the distance between points b and c

Explanation:

To construct a copy of segment \(\overline{AB}\) with \(C\) as one endpoint, the next step is to measure the length of \(\overline{AB}\) using a compass. This is because we need the length of the original segment (\(AB\)) to replicate it from point \(C\). Measuring \(AC\) or \(BC\) is not relevant here as we need the length of \(AB\).

Answer:

B. use a compass, measure the distance between points A and B