Back to Construct regular polygons in circle — Problem 4 · Task Set 13

Exercises: Construct Regular Polygons Inscribed in a Circle

Grade 9·18 problems·~28 min·Common Core Math - HS Geometry·standard·hsg-co-d-13

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Fluency Practice

A regular hexagon $ABCDEF$ is inscribed in a circle. Which set of vertices, when connected, forms an equilateral triangle inscribed in the same circle?

$A$ , $B$ , $C$ (three consecutive vertices)

$A$ , $C$ , $E$ (every other vertex)

$A$ , $B$ , $D$ (two consecutive, then skipping one)

$A$ , $D$ (two opposite vertices) and the center $O$