Problem preview
G-CO.13 Warmup M1-036-A07-V01

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

Identify a regular polygon construction from its steps

Problem

Use the displayed construction state. Identify the regular polygon produced by the shown equal-step, diameter, or equal-radius construction.

Big Picture

What this problem is really about

A regular-polygon construction is best identified from how it spaces vertices around the center. We’ll count the diameter endpoints, translate their spacing into equal central turns, and use the equal-chord consequence to determine what kind of inscribed figure those adjacent points create.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.13
Category
Geometry
Domain
Congruence
Objective
Construct an equilateral triangle, square, and regular hexagon inscribed in a circle.
Problem type
Identify a regular polygon construction from its steps