Question

question 1 of 12
in the straightedge and compass construction of the equilateral triangle below, which of the following reasons can you use to prove that $overline{ab}$ and $overline{bc}$ are congruent?
a. $overline{ac}$ and $overline{ab}$ are both radii of $odot b$.
b. $overline{ab}$ and $overline{bc}$ are both chords of $odot b$.
c. $overline{ab}$ and $overline{bc}$ are both radii of $odot b$.
d. $overline{ab}$ and $overline{bc}$ are both radii of $odot a$.

Explanation:

In a straight - edge and compass construction of an equilateral triangle, when using circles, equal - length segments are radii of the same circle. Here, AB and BC are radii of circle B.

Answer:

C. $\overline{AB}$ and $\overline{BC}$ are both radii of $\odot B$.