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Learning Goal

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Construct regular polygons in circle

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HSG.CO.D.13

**HSG.CO.D.13**: Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

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HSG.CO.D.13: Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

What you'll learn

  1. Construct an equilateral triangle inscribed in a given circle using compass and straightedge
  2. Construct a square inscribed in a given circle using compass and straightedge
  3. Construct a regular hexagon inscribed in a given circle using compass and straightedge
  4. Explain the geometric properties that make each construction work, including why the radius of a circle equals the side length of an inscribed regular hexagon
  5. Identify the relationships among the three inscribed polygons and describe how the equilateral triangle is derived from the hexagon

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1

Inscribed polygons in a circle

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