Problem preview
G-CO.13 Warmup M1-036-A11-V01

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

Diagnose an error in a regular polygon construction

Problem

Which complete response correctly evaluates the displayed regular-hexagon construction?

Big Picture

What this problem is really about

A regular construction depends on an invariant, so every repeated step should preserve the same geometric quantity. We’ll compare the successive chord steps with the circle’s radius, locate where equal spacing breaks, and connect that failure to both unequal central angles and the loss of guaranteed regularity.

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
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
Diagnose an error in a regular polygon construction