Question

question 6 of 12
in the straightedge and compass construction of the regular hexagon below, how do you know that $overline{ab}congoverline{af}$?
a. $overline{ab}$ and $overline{bc}$ are radii of the same circle.
b. $overline{af}$ and $overline{ef}$ are radii of the same circle.
c. $overline{ab}$ and $overline{af}$ are radii of the same circle.
d. $overline{bc}$ and $overline{cd}$ are radii of the same circle.

Explanation:

In straight - edge and compass construction of a regular hexagon, equal - length segments are often radii of the same circle. Here, for $\overline{AB}\cong\overline{AF}$, it's because they are radii of the same circle.

Answer:

C. $\overline{AB}$ and $\overline{AF}$ are radii of the same circle.