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G-C.4 Warmup M2-032-A08-V04

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

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

Problem

To construct tangent lines from external point \(Q\) to a circle with center \(C\), segment \(CQ\) has been drawn and its midpoint \(N\) has been constructed. What is the missing step?

Unworked tangent diagram showing only the supplied configuration and givens. Open full size
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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