Question

1. look at the figure. what is the next step in this construction of a line parallel to $overline{ac}$ passing through point b. measure the distance between $overline{ab}$ and $overline{ac}$ along arc 1 with a ruler. draw a line through point b that intersects arc 2. measure the distance between $overline{ab}$ and $overline{ac}$ along arc 1 with a compass. use a protractor to measure $angle bac$

Explanation:

In the construction of a line parallel to $\overline{AC}$ through point $B$, after the initial arcs are drawn (as shown), the next step is to measure the distance between $\overline{AB}$ and $\overline{AC}$ along arc 1 with a compass. This distance is then transferred to arc 2 to ensure equal - angles are created which is a key step in constructing parallel lines based on the principle of corresponding - angles. Measuring with a ruler is not relevant for this geometric construction, drawing a line through $B$ that intersects arc 2 prematurely without proper measurement is incorrect, and measuring $\angle BAC$ with a protractor is not part of the standard compass - and - straightedge parallel - line construction process.

Answer:

Measure the distance between $\overline{AB}$ and $\overline{AC}$ along arc 1 with a compass.