Problem preview
G-C.4 Warmup M2-032-A04-V02

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

Identify the tangent points in the auxiliary-circle construction

Problem

The circle with diameter \(CQ\) intersects the given circle at \(T_{1}\) and \(T_{2}\). Name the \(\text{two}~\text{points}\) that serve as the tangency points for the tangent segments drawn from \(Q\).

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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
Identify the tangent points in the auxiliary-circle construction