Question

1. Frankie constructed
¯
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
¯
AB using point C as one of the endpoints?
(4 points)
use a compass, measure the distance between points A and B
use a compass, measure the distance between points B and `C`.
use a compass, measure the distance between points A and `C`

Answer 1

To construct a copy of segment \(\overline{AB}\) using point \(C\) as one of the endpoints, Frankie should use a compass to measure the distance between points \(A\) and \(B\).

Here are the steps in detail:

1. **Measure the Length of \(\overline{AB}\)**: Frankie should place the compass pointer at point \(A\) and stretch it to point \(B\) to measure the distance.

2. **Draw a Circle**: Next, with the compass still set to the length of \(\overline{AB}\), he should place the compass pointer at point \(C\) and draw an arc.

3. **Mark the Other Endpoint**: Simply mark the point where the arc intersects (let’s call it point \(D\)). The segment \(\overline{CD}\) will now be congruent to \(\overline{AB}\).

Thus, the correct option is:
**use a compass, measure the distance between points A and B.**