Question

a compass and a straightedge were used to perform a construction on ∠s. this diagram shows the completed constru these steps were followed to complete the construction. - the compass was used to draw an arc from point s through the sides of the angle to create point r and point t. - arcs were drawn, each with the same compass setting, one from point r and one from point t. the intersection of the a - the straightedge was used to draw a ray from point s through point p. which of the following statements describes what is illustrated by the steps used to complete the construction? a the steps illustrate how to copy angle s so that angle tsp is congruent to angle rst. b the steps illustrate how to bisect angle s so that angle rsp is congruent to angle tsp. c the steps illustrate how to bisect angle s so that angle tsp is congruent to angle rst. d the steps illustrate how to copy angle s so that angle rsp is congruent to angle tsp.

Explanation:

The steps described are the standard way to bisect an angle using a compass and straight - edge. When we draw arcs from the vertex of the angle ($S$) to the sides of the angle to get $R$ and $T$, and then draw equal - radius arcs from $R$ and $T$ and connect the vertex $S$ to the intersection point $P$ of those arcs, we are creating two congruent angles. That is, $\angle RSP\cong\angle TSP$.

Answer:

B. The steps illustrate how to bisect angle $S$ so that angle $RSP$ is congruent to angle $TSP$.