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Chords, Tangents & Inscribed Angles

Section: GeometryBank code: GEO-CTSGRE frequency: MediumPro

1. Core Idea

This capsule covers the circle's lines: chords, tangents and the angles they create.

Two structural facts do most of the work:

  1. A radius drawn to the point of tangency is perpendicular to the tangent.
  2. A radius perpendicular to a chord bisects that chord.

Both create right triangles — which is why almost every question here ends in Pythagoras.


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