🎯
Learning Goal
Part of: Make geometric constructions — 2 of 2 cluster items
Construct regular polygons in circle
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
- Construct an equilateral triangle inscribed in a given circle using compass and straightedge
- Construct a square inscribed in a given circle using compass and straightedge
- Construct a regular hexagon inscribed in a given circle using compass and straightedge
- 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
- Identify the relationships among the three inscribed polygons and describe how the equilateral triangle is derived from the hexagon
Prerequisites
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises