Problem preview

G-CO.12 Core M1-035-R01-V02

Perform formal constructions with compass/straightedge, paper folding, string, reflective devices, or geometry software.

Transfer a segment length with a compass

Problem

Construct point \(S\) on ray \(RY\) so \(RS=CD\) using a compass and straightedge. State the compass opening, center, ray-marking action, and resulting equality.

Answer choices

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opening = compass width CD; center = R; ray action = mark intersection S on ray RY without changing width; result = RS=CD

opening = compass width CD; center = R; ray action = name S before arc intersection; result = RS=CD

opening = compass width CR; center = D; ray action = mark S; result = RS=CD

opening = compass width CD; center = Y; ray action = mark S; result = RS=CD

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Curriculum context

Course: Math I
Standard: G-CO.12
Category: Geometry
Domain: Congruence
Objective: Perform formal constructions with compass/straightedge, paper folding, string, reflective devices, or geometry software.
Problem type: Transfer a segment length with a compass