Problem preview
G-CO.13 Warmup M1-036-A09-V01

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

Complete an inscribed polygon construction sequence

Problem

Use the displayed partial inscribed-polygon construction. Identify the \(\text{single}\) correct next construction step.

Big Picture

What this problem is really about

The next construction step should supply exactly the missing vertices, not jump ahead to connecting points. We’ll treat the existing diameter as one opposite pair, determine the quarter-turn locations required for the other pair, and identify the center-based move that creates those positions with guaranteed equal spacing.

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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
Complete an inscribed polygon construction sequence