Problem preview
G-C.4 Warmup M2-032-A08-V01

Construct a tangent line from an external point to a circle.

Complete a missing step in the tangent-from-external-point construction

Problem

In this tangent construction, the work so far is: \(OP\) has been drawn from center \(O\) to external point \(P\). What is the missing step?

Big Picture

What this problem is really about

A missing-step question is about construction order: after the center-to-external-point segment is drawn, the next object must provide the center of the auxiliary circle that uses that segment as a diameter. We’ll work backward from that center requirement and identify the immediate step without jumping ahead to the auxiliary circle or tangents.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-C.4
Category
Geometry
Domain
Circles
Objective
Construct a tangent line from an external point to a circle.
Problem type
Complete a missing step in the tangent-from-external-point construction