Frankie constructed line segment `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 line segment AB using point C as one of the endpoints?

Question

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

Answer 1

To construct a copy of line segment \( AB \) using point \( C \) as one of the endpoints, Frankie needs to measure the length of segment \( AB \), not the distances involving point \( C \).

Therefore, the correct step for Frankie to take is: c. use a compass, measure the distance between points A and B.

This will allow him to replicate the length of segment \( AB \) starting from point \( C \).