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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.

A

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.

B

Draw line segments connecting the points $P$P, $R$R, and $S$S to construct $\triangle PRS$PRS.

C

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.

D
Medium
< 1min
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Outcomes

I.G.CO.13

Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

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