Investigation: Construct polygons inscribed in circles
Interactive practice questions
Ray constructs an equilateral triangle inscribed in circle $P$P. His first three steps are shown
1. He creates radius $\overline{PQ}$PQ using a point $Q$Q on the circle.
2. Using point $Q$Q as the center and the length of $\overline{PQ}$PQ as a radius, he uses a compass to construct an arc that intersects the circle at $R$R.
3. Using point $R$R as the center and the length of $\overline{PQ}$PQ as a radius, he uses a compass to construct an arc that intersects the circle at $S$S.
What should Ray's next step in constructing the equilateral triangle?
Draw line segments connecting the points $Q$Q, $R$R, and $S$S to construct $\triangle QRS$△QRS.
Construct an arc intersecting the circle by using the point $P$P as the center and the length of $\overline{PQ}$PQ as a radius.
Draw line segments connecting the points $P$P, $R$R, and $S$S to construct $\triangle PRS$△PRS.
Construct an arc intersecting the circle by using the point $S$S as the center and the length of $\overline{PQ}$PQ as a radius.