Problem preview
G-C.4 Core M2-032-R01-V04

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

Construct tangents with the midpoint auxiliary circle

Problem

Construct \(\text{both}~\text{tangents}\) from exterior point \(S\) to the circle centered at \(K\). Give the ordered steps for bisecting \(KS\) at \(L\), drawing the diameter-based auxiliary circle, naming its intersections \(D\) and \(E\) with the original circle, and drawing the \(\text{two}~\text{tangent}~\text{segments}\).

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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
Construct tangents with the midpoint auxiliary circle