Question

1. to construct the incenter to the triangle below, a compass was placed at ∠r, and an arc was drawn across (overline{rs}) and (overline{rt}). what is the next step in constructing the incenter to the triangle below using a compass and straightedge?

place the compass on ∠t.
draw arcs across (overline{st}) and (overline{rt}).
place the compass point at the point where the arc crosses (overline{rt}), and draw an arc in the interior of the angle

Explanation:

To construct the incenter, we bisect angles. After bisecting ∠R, the next step is to bisect another angle (∠T here). The first step in bisecting ∠T is placing the compass on ∠T. Other options: Drawing arcs across ST and RT is not the next step after bisecting ∠R. Placing the compass at the arc on RT is for later, not immediate next. So the correct next step is placing the compass on ∠T.

Answer:

Place the compass on $\angle T$ (the option with "Place the compass on $\angle T$" text)