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G-C.2 Warmup M2-030-A08-V04

Analyze relationships among inscribed angles, central angles, circumscribed angles, radii, chords, diameters, and tangents.

Use the tangent-radius relationship to identify a perpendicular angle

Problem

A circle with center \(M\) has a tangent line \(\ell~\) at point \(Q\), and radius \(MQ\) is drawn to \(Q\). What can you conclude from the tangent-radius relationship?

Unworked circle diagram showing only the supplied geometric configuration and measures. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-C.2
Category
Geometry
Domain
Circles
Objective
Analyze relationships among inscribed angles, central angles, circumscribed angles, radii, chords, diameters, and tangents.
Problem type
Use the tangent-radius relationship to identify a perpendicular angle